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Analytic Number Theory, Approximation Theory, and Special Functions

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Cover of 'Analytic Number Theory, Approximation Theory, and Special Functions'

Table of Contents

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    Book Overview
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    Chapter 1 The Mean Values of the Riemann Zeta-Function on the Critical Line
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    Chapter 2 Explicit Bounds Concerning Non-trivial Zeros of the Riemann Zeta Function
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    Chapter 3 On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions
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    Chapter 4 Multiple Gamma Functions and Their Applications
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    Chapter 5 On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes
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    Chapter 6 Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications
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    Chapter 7 Combinatorial Interpretation of a Generalized Basic Series
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    Chapter 8 Identities for Reciprocal Binomials
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    Chapter 9 A Note on q-Stirling Numbers
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    Chapter 10 A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series
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    Chapter 11 Topics in Special Functions III
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    Chapter 12 Completely Monotone Functions: A Digest
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    Chapter 13 New Applications of Superquadracity
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    Chapter 14 Green’s Operator and Differential Forms
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    Chapter 15 Multidimensional Discrete Hilbert-Type Inequalities, Operators and Compositions
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    Chapter 16 The Function (b x − a x )∕x: Ratio’s Properties
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    Chapter 17 On the Approximation and Bounds of the Gini Mean Difference
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    Chapter 18 On Parametric Nonconvex Variational Inequalities
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    Chapter 19 Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators
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    Chapter 20 Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1)
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    Chapter 21 Reflections on the Baker–Gammel–Wills (Padé) Conjecture
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    Chapter 22 Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$
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    Chapter 23 Numerical Integration of Highly Oscillating Functions
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    Chapter 24 Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme
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    Chapter 25 On a Direct Uvarov-Chihara Problem and Some Extensions
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    Chapter 26 On Especial Cases of Boas-Buck-Type Polynomial Sequences
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    Chapter 27 Goursat’s Hypergeometric Transformations, Revisited
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    Chapter 28 Convolution Product and Differential and Integro: Differential Equations
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    Chapter 29 Orthogonally Additive: Additive Functional Equation
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    Chapter 30 Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions
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    Chapter 31 Properties of the Product of Modified Bessel Functions
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    Chapter 32 Mapping Properties of an Integral Operator Involving Bessel Functions
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    Chapter 33 Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups
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    Chapter 34 Inclusion Properties for Certain Classes of Meromorphic Multivalent Functions
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    Chapter 35 A Journey from Gross-Problem to Fujimoto-Condition
Attention for Chapter 9: A Note on q-Stirling Numbers
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Chapter title
A Note on q-Stirling Numbers
Chapter number 9
Book title
Analytic Number Theory, Approximation Theory, and Special Functions
Published by
Springer, New York, NY, January 2014
DOI 10.1007/978-1-4939-0258-3_9
Book ISBNs
978-1-4939-0257-6, 978-1-4939-0258-3
Authors

Mircea Merca

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The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 50%
Researcher 1 50%
Readers by discipline Count As %
Mathematics 2 100%