Results 21 to 30 of about 2,163 (157)
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
wiley +1 more source
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 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
wiley +1 more source
A note on the zeros of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 2001 In the paper we obtain the effective zero free regions for the Lerch zeta-function.
Ramūnas Garunkštis
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Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions [PDF]
, 2012 The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension.
Ram K. Saxena, Tibor Pogany
core +1 more source
Exponential sums of Lerch’s zeta functions [PDF]
Proceedings of the American Mathematical Society, 1985 For x x not an an integer and Re ( s ) > 0 \operatorname {Re} (s) > 0 , let \[ F ( x , s ) = ∑ k = 1 ∞
openaire +2 more sources
One functional property of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
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The Quantum Mellin transform [PDF]
, 2006 We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum ...
Bateman H +15 more
core +3 more sources
A limit theorem for the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Jolita Ignatavičiūtė
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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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