Analytic Number Theory, Approximation Theory, and Special Functions, Gradimir V. Milovanovi?; Michael Th. Rassias

Автор: Gradimir V. Milovanovi?; Michael Th. Rassias
Название: Analytic Number Theory, Approximation Theory, and Special Functions
ISBN: 1493945386 ISBN-13(EAN): 9781493945382
Издательство: Springer
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Описание: Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials.- The mean values of the Riemann Zeta function on the critical line (A. Ivic).- Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani).- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto).- Multiple Gamma functions and their applications (J. Choi).- On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde).- Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek).- Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana).- Identities for reciprocal binomials (A. Sofo).- A note on q-Stirling numbers (M. Merca).- Part II. Analytic Inequalities and Applications.- A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir).- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang).- Completely monotone functions-a digest (M. Merkle).- New applications of superquadracity (S. Abramovich).- Green's operator and differential forms (S. Ding, Y. Xing).- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang).- The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo).- On the approximation and bounds of the Gini mean difference (P. Cerone).- On parametric nonconvex variational inequalities (M.A. Noor).- Part III. Approximation of Functions and Quadratures.- Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta).- Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine).- Reflections on the Baker-Gammel-Wills (Padй) conjecture (D.S. Lubinsky).- Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanovic, K.M. Shadimetov).- Numerical integration of highly oscillating functions (G.V. Milovanovic, M.P. Stanic).- Part IV. Orthogonality, Transformations and Applications.- Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. Lуpez, E.P. Sinusнa).- On a direct Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellбn).- On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich).- Goursat's hypergeometric transformations, revisited (P.W. Karlsson).- Convolutions product and differential and integro-differential equations (A. Kiliзman).- Orthogonally additive-additive functional equation (C. Park).- Part V. Special and Complex Functions and Applications.- Alternating Mathieu series, Hilbert-Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogбny).- Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogбny).- Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz).- Poincarй α-series for classical Schottky groups (V.V. Mityushev).- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho).- A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee).- Index.

Автор: S.P. Singh; J.H.W. Burry; B. Watson
Название: Approximation Theory and Spline Functions
ISBN: 9027718180 ISBN-13(EAN): 9789027718181
Издательство: Springer
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Цена: 306530.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, St. John`s, Newfoundland, Canada, August 22-September 2, 1983

Автор: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
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Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable Matlab M-file, available online.In addition, the book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: Tom M. Apostol
Название: Modular Functions and Dirichlet Series in Number Theory
ISBN: 1461269784 ISBN-13(EAN): 9781461269786
Издательство: Springer
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Цена: 55890.00 T
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Описание: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function.

Автор: Carl Pomerance; Michael Th. Rassias
Название: Analytic Number Theory
ISBN: 3319355511 ISBN-13(EAN): 9783319355511
Издательство: Springer
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Цена: 88500.00 T
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Описание: This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field.

Автор: Valentin Blomer; Preda Mih?ilescu
Название: Contributions in Analytic and Algebraic Number Theory
ISBN: 1489991581 ISBN-13(EAN): 9781489991584
Издательство: Springer
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Цена: 172350.00 T
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Описание: The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.

Автор: Badziahin
Название: Dynamics and Analytic Number Theory
ISBN: 1107552370 ISBN-13(EAN): 9781107552371
Издательство: Cambridge Academ
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Цена: 67590.00 T
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Описание: Aimed at both young and established researchers, this book covers several directions of current research lying at the interface between dynamics and analytic number theory. Leading experts present a wide range of topics, including homogeneous dynamics, Diophantine approximation, Ramsey theory, ergodic theory and combinatorics.

Автор: Frank Garvan; George Andrews
Название: Analytic Number Theory, Modular Forms and q-Hypergeometric Series
ISBN: 3319683756 ISBN-13(EAN): 9783319683751
Издательство: Springer
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Цена: 214280.00 T
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Описание: Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory.

Автор: Shparlinski Igor
Название: Cryptographic Applications of Analytic Number Theory / Complexity Lower Bounds and Pseudorandomness
ISBN: 3764366540 ISBN-13(EAN): 9783764366544
Издательство: Springer
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Цена: 102480.00 T
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Описание: The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation.Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

Автор: Krishnaswami Alladi; P.D.T.A. Elliott; A. Granvill
Название: Analytic and Elementary Number Theory
ISBN: 0792382730 ISBN-13(EAN): 9780792382737
Издательство: Springer
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Цена: 158340.00 T
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Описание: A collection of papers in `analytic and elementary number theory` in memory of Professor Paul Erdos. It deals with various topics including: arithmetical functions; probabilistic number theory; properties of integer sequences; modular forms, partitions; and, q-series. It is intended for researchers and students of number theory and analysis.

Автор: Apostol Tom M
Название: Introduction to Analytic Number Theory
ISBN: 1441928057 ISBN-13(EAN): 9781441928054
Издательство: Springer
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Цена: 49330.00 T
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Описание: "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory.

Автор: Marvin I. Knopp
Название: Analytic Number Theory
ISBN: 3540111735 ISBN-13(EAN): 9783540111733
Издательство: Springer
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Цена: 46540.00 T
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