Analytic Number Theory, Approximation Theory, and Special Functions
Editor
- Gradimir V. Milovanović(Serbian Academy of Sciences and Arts, Mathematical Institute)Michael Th. Rassias(ETH Zürich, Department of Mathematics)
Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-1-4939-0258-3
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Book Chapters
The following chapters of this book are listed in IDEAS- Aleksandar Ivić, 2014. "The Mean Values of the Riemann Zeta-Function on the Critical Line," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 3-68, Springer.
- Mehdi Hassani, 2014. "Explicit Bounds Concerning Non-trivial Zeros of the Riemann Zeta Function," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 69-77, Springer.
- Yasutaka Ihara & Kohji Matsumoto, 2014. "On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 79-91, Springer.
- Junesang Choi, 2014. "Multiple Gamma Functions and Their Applications," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 93-129, Springer.
- A. A. Bytsenko & E. Elizalde, 2014. "On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 131-148, Springer.
- Yilmaz Simsek, 2014. "Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 149-214, Springer.
- A. K. Agarwal & M. Rana, 2014. "Combinatorial Interpretation of a Generalized Basic Series," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 215-225, Springer.
- Anthony Sofo, 2014. "Identities for Reciprocal Binomials," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 227-238, Springer.
- Mircea Merca, 2014. "A Note on q-Stirling Numbers," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 239-244, Springer.
- Alawiah Ibrahim & Silvestru Sever Dragomir, 2014. "A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 247-295, Springer.
- Glen D. Anderson & Matti Vuorinen & Xiaohui Zhang, 2014. "Topics in Special Functions III," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 297-345, Springer.
- Milan Merkle, 2014. "Completely Monotone Functions: A Digest," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 347-364, Springer.
- Shoshana Abramovich, 2014. "New Applications of Superquadracity," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 365-395, Springer.
- Shusen Ding & Yuming Xing, 2014. "Green’s Operator and Differential Forms," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 397-427, Springer.
- Bicheng Yang, 2014. "Multidimensional Discrete Hilbert-Type Inequalities, Operators and Compositions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 429-484, Springer.
- Feng Qi & Qiu-Ming Luo & Bai-Ni Guo, 2014. "The Function (b x − a x )∕x: Ratio’s Properties," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 485-494, Springer.
- Pietro Cerone, 2014. "On the Approximation and Bounds of the Gini Mean Difference," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 495-516, Springer.
- Muhammad Aslam Noor, 2014. "On Parametric Nonconvex Variational Inequalities," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 517-527, Springer.
- N. K. Govil & Vijay Gupta, 2014. "Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 531-548, Springer.
- M. Mursaleen & S. A. Mohiuddine, 2014. "Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1)," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 549-560, Springer.
- Doron S. Lubinsky, 2014. "Reflections on the Baker–Gammel–Wills (Padé) Conjecture," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 561-571, Springer.
- Abdullo R. Hayotov & Gradimir V. Milovanović & Kholmat M. Shadimetov, 2014. "Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 573-611, Springer.
- Gradimir V. Milovanović & Marija P. Stanić, 2014. "Numerical Integration of Highly Oscillating Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 613-649, Springer.
- Chelo Ferreira & José L. López & Ester Pérez Sinusía, 2014. "Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 653-690, Springer.
- K. Castillo & L. Garza & F. Marcellán, 2014. "On a Direct Uvarov-Chihara Problem and Some Extensions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 691-704, Springer.
- Ana F. Loureiro & S. Yakubovich, 2014. "On Especial Cases of Boas-Buck-Type Polynomial Sequences," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 705-720, Springer.
- Per W. Karlsson, 2014. "Goursat’s Hypergeometric Transformations, Revisited," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 721-736, Springer.
- Adem Kılıçman, 2014. "Convolution Product and Differential and Integro: Differential Equations," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 737-758, Springer.
- Choonkil Park, 2014. "Orthogonally Additive: Additive Functional Equation," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 759-772, Springer.
- Árpád Baricz & Paul L. Butzer & Tibor K. Pogány, 2014. "Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 775-808, Springer.
- Árpád Baricz & Tibor K. Pogány, 2014. "Properties of the Product of Modified Bessel Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 809-820, Springer.
- Saurabh Porwal & Daniel Breaz, 2014. "Mapping Properties of an Integral Operator Involving Bessel Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 821-826, Springer.
- Vladimir V. Mityushev, 2014. "Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 827-852, Springer.
- Nak Eun Cho, 2014. "Inclusion Properties for Certain Classes of Meromorphic Multivalent Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 853-863, Springer.
- Indrajit Lahiri & Abhijit Banerjee, 2014. "A Journey from Gross-Problem to Fujimoto-Condition," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 865-877, Springer.
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