Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava

Front Matter....Pages i-xi
Front Matter....Pages 1-1
The Mean Values of the Riemann Zeta-Function on the Critical Line....Pages 3-68
Explicit Bounds Concerning Non-trivial Zeros of the Riemann Zeta Function....Pages 69-77
On the Value-Distribution of Logarithmic Derivatives of Dirichlet L -Functions....Pages 79-91
Multiple Gamma Functions and Their Applications....Pages 93-129
On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes....Pages 131-148
Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications....Pages 149-214
Combinatorial Interpretation of a Generalized Basic Series....Pages 215-225
Identities for Reciprocal Binomials....Pages 227-238
A Note on q -Stirling Numbers....Pages 239-244
Front Matter....Pages 245-245
A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series....Pages 247-295
Topics in Special Functions III....Pages 297-345
Completely Monotone Functions: A Digest....Pages 347-364
New Applications of Superquadracity....Pages 365-395
Green’s Operator and Differential Forms....Pages 397-427
Multidimensional Discrete Hilbert-Type Inequalities, Operators and Compositions....Pages 429-484
The Function ( b x − a x )∕ x : Ratio’s Properties....Pages 485-494
On the Approximation and Bounds of the Gini Mean Difference....Pages 495-516
On Parametric Nonconvex Variational Inequalities....Pages 517-527
Front Matter....Pages 529-529
Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators....Pages 531-548
Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability ( C , 1, 1)....Pages 549-560
Front Matter....Pages 529-529
Reflections on the Baker–Gammel–Wills (Padé) Conjecture....Pages 561-571
Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$ ....Pages 573-611
Numerical Integration of Highly Oscillating Functions....Pages 613-649
Front Matter....Pages 651-651
Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme....Pages 653-690
On a Direct Uvarov-Chihara Problem and Some Extensions....Pages 691-704
On Especial Cases of Boas-Buck-Type Polynomial Sequences....Pages 705-720
Goursat’s Hypergeometric Transformations, Revisited....Pages 721-736
Convolution Product and Differential and Integro: Differential Equations....Pages 737-758
Orthogonally Additive: Additive Functional Equation....Pages 759-772
Front Matter....Pages 773-773
Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions....Pages 775-808
Properties of the Product of Modified Bessel Functions....Pages 809-820
Mapping Properties of an Integral Operator Involving Bessel Functions....Pages 821-826
Poincaré $$\\boldsymbol{\\alpha }$$ -Series for Classical Schottky Groups....Pages 827-852
Inclusion Properties for Certain Classes of Meromorphic Multivalent Functions....Pages 853-863
A Journey from Gross-Problem to Fujimoto-Condition....Pages 865-877
Back Matter....Pages 879-880