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1.

電子ブック

EB
edited by Gradimir V. Milovanović, Michael Th. Rassias
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-1-4939-0258-3
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目次情報: 続きを見る
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
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)
2.

電子ブック

EB
edited by Andrei Raigorodskii, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-37904-9
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On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
Inequalities for weighted trigonometric sums
Norm Inequalities for Generalized Laplace Transforms
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins
The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
The second moment of the first derivative of Hardy's Z-function
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
A remark on sets with small Wiener norm
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
3.

電子ブック

EB
edited by Daniel Breaz, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-40120-7
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目次情報: 続きを見る
A Theory on Non-Constant Frequency Decompositions and Applications (Chen)
One-component inner functions II (Cima)
Biholomorphic Cryptosystems (Daras)
Third order fermionic and fourth order bosonic operators (Ding)
Holomorphic approximation: the legacy of Weierstrass, Runge, Oka-Weil, and Mergelyan (Fornæss)
A Potapov-type approach to a truncated matricial Stieltjes-type power moment problem (Fritzsche)
Formulas and inequalities for some special functions of a complex variable (Grinshpan)
On the means of the non-trivial zeros of the Riemann zeta function (Hassani)
Minimal kernels and compact analytic objects in complex surfaces(Mongodi)
On the automorphic group of an entire function (Peretz)
Integral representations in Complex Analysis: From classical results to recent developments (Range)
On the Riemann zeta function and Gaussian multiplicative chaos (Saksman)
Some new aspects in hypercomplex analysis (Sprößig)
Some connections of complex dynamics (De Zotti)
A Theory on Non-Constant Frequency Decompositions and Applications (Chen)
One-component inner functions II (Cima)
Biholomorphic Cryptosystems (Daras)