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Generalization Bohr Mollerups Theorem Higher by Marichal Jean Luc (31 results)
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Condition: As New. Unread book in perfect condition.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions (Developments in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Published by Springer Nature Switzerland AG, CH, 2022
ISBN 10: 3030950875 ISBN 13: 9783030950873
Language: English
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. 1st ed. 2022. In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions (Developments in Mathematics, 70)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In.
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Condition: New. 1st ed. 2022 edition NO-PA16APR2015-KAP.
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Condition: As New. Unread book in perfect condition.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Published by Springer Nature Switzerland AG, 2022
ISBN 10: 3030950905 ISBN 13: 9783030950903
Language: English
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Generalization of Bohr-mollerup's Theorem for Higher Order Convex Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New.
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Generalization of Bohr-mollerup's Theorem for Higher Order Convex Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Published by Springer Nature Switzerland AG, CH, 2022
ISBN 10: 3030950905 ISBN 13: 9783030950903
Language: English
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. 1st ed. 2022. In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.
-
Generalization of Bohr-mollerup's Theorem for Higher Order Convex Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions (Hardcover)
Published by Springer Nature Switzerland AG, Cham, 2022
ISBN 10: 3030950875 ISBN 13: 9783030950873
Language: English
First Edition
Hardcover. Condition: new. Hardcover. In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Generalization of Bohr-mollerup's Theorem for Higher Order Convex Functions
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition.
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Condition: New. 1st ed. 2022 edition NO-PA16APR2015-KAP.
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Paperback. Condition: Brand New. 341 pages. 9.25x6.10x0.72 inches. In Stock.
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Hardcover. Condition: Brand New. 341 pages. 9.25x6.10x0.81 inches. In Stock.
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Hardback. Condition: New. 1st ed. 2022.
-
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions (Hardcover)
Published by Springer Nature Switzerland AG, Cham, 2022
ISBN 10: 3030950875 ISBN 13: 9783030950873
Language: English
First Edition
Hardcover. Condition: new. Hardcover. In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
-
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Published by Springer Nature Switzerland AG, CH, 2022
ISBN 10: 3030950905 ISBN 13: 9783030950903
Language: English
Paperback. Condition: New. 1st ed. 2022. In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Published by Springer International Publishing, 2022
ISBN 10: 3030950905 ISBN 13: 9783030950903
Language: English
Condition: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher.
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Paperback. Condition: Brand New. 341 pages. 9.25x6.10x0.72 inches. In Stock. This item is printed on demand.
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Hardcover. Condition: Brand New. 341 pages. 9.25x6.10x0.81 inches. In Stock. This item is printed on demand.
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Condition: New. Print on Demand.
