Book 2014

Analytic Number Theory, Approximation Theory, and Special Functions

In Honor of Hari M. Srivastava

Editors:

ISBN: 978-1-4939-0257-6 (Print) 978-1-4939-0258-3 (Online)

Table of contents (35 chapters)

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  1. Front Matter

    Pages i-xi

  2. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-68

      The Mean Values of the Riemann Zeta-Function on the Critical Line

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      Chapter

      Pages 69-77

      Explicit Bounds Concerning Non-trivial Zeros of the Riemann Zeta Function

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      Chapter

      Pages 79-91

      On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions

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      Chapter

      Pages 93-129

      Multiple Gamma Functions and Their Applications

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      Chapter

      Pages 131-148

      On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes

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      Chapter

      Pages 149-214

      Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications

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      Chapter

      Pages 215-225

      Combinatorial Interpretation of a Generalized Basic Series

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      Chapter

      Pages 227-238

      Identities for Reciprocal Binomials

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      Chapter

      Pages 239-244

      A Note on q-Stirling Numbers

  3. Analytic Inequalities and Applications

    1. Front Matter

      Pages 245-245

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      Chapter

      Pages 247-295

      A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series

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      Chapter

      Pages 297-345

      Topics in Special Functions III

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      Chapter

      Pages 347-364

      Completely Monotone Functions: A Digest

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      Chapter

      Pages 365-395

      New Applications of Superquadracity

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      Chapter

      Pages 397-427

      Green’s Operator and Differential Forms

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      Chapter

      Pages 429-484

      Multidimensional Discrete Hilbert-Type Inequalities, Operators and Compositions

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      Chapter

      Pages 485-494

      The Function (b x a x )∕x: Ratio’s Properties

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      Chapter

      Pages 495-516

      On the Approximation and Bounds of the Gini Mean Difference

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      Chapter

      Pages 517-527

      On Parametric Nonconvex Variational Inequalities

  4. Approximation of Functions and Quadratures

    1. Front Matter

      Pages 529-529

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      Chapter

      Pages 531-548

      Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators

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      Chapter

      Pages 549-560

      Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1)

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