Results 41 to 50 of about 28,649 (209)
Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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The false theta functions of Rodgers and their modularity
Bulletin of the London Mathematical Society, Volume 53, Issue 4, Page 963-980, August 2021., 2021 Abstract In this survey article, we explain how false theta functions can be embedded into a modular framework and show some of the applications of this modularity.
Kathrin Bringmann
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Joint value-distribution theorems on Lerch zeta-functions. II [PDF]
, 2006 We give corrected statements of some theorems from [5] and [6] on joint value-distribution of Lerch zeta-functions (limit theorems, universality, functional independence).
Matsumoto, K., Laurinčikas, A.
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Uniform Treatment of Jensen’s Inequality by Montgomery Identity
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality.
Tahir Rasheed +5 more
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ON THE ZERO DISTRIBUTIONS OF LERCH ZETA-FUNCTIONS [PDF]
Analysis, 2002 The authors study the distribution of zeros of the Lerch zeta-function \[ L(\lambda,\alpha, s):= \sum^\infty_{n=0} e^{2\pi i\lambda n}(n+\alpha)^{-s}, \] defined by R. Lipschitz in 1857 and further studied by M. Lerch thirty years later, and of its derivative \({\partial\over\partial s} L(\lambda,\alpha, s)\). Let me cite one of the authors' result: If
Garunkštis, Ramūnas, Steuding, Jörn
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The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a, k, β, and γ are general complex numbers. This Mellin transform will be derived in terms of the Lerch function and is not listed in current literature
Robert Reynolds +2 more
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A joint limit theorem for Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
doaj +3 more sources
One functional property of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
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Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, 2022 Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics.
Kishore C. Deshmukh, R. Ingle, P. Reddy
semanticscholar +1 more source
Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs [PDF]
, 2015 We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical formulae for the sum of all paths for arbitrary leaf-to-leaf distance r as
Römer, Rudolf A. +2 more
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