Analytic Number Theory, Approximation Theory, and Special Functions In Honor of Hari M. Srivastava /
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered inc...
| Συγγραφή απο Οργανισμό/Αρχή: | |
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| Άλλοι συγγραφείς: | , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2014.
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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. Ivić)
- 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 (Padé) 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. Milovanović, K.M. Shadimetov)
- Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)
- 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. López, E.P. Sinusía)
- On a direct Uvarov–Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
- 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. Kiliçman)
- 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. Pogány)
- Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)
- Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)
- Poincaré 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.
