Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals [PDF]
Applied Mathematics and Computation, 2007 We introduce a new technique for evaluation of series with zeta coefficients and also for evaluation of certain integrals involving the logGamma function. This technique is based on Hankel integral representations of the Hurwitz zeta, the Lerch Zeta, the Digamma and logGamma functions.
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AIMS MathematicsThe results of this paper deal with a few applications of the general theory of the differential subordinations and superordinations, and to obtain our results we use the general techniques of the differential subordination and superordination theory ...
Ekram E. Ali +4 more
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Fourier Series Of the Derivatives of Hurwitz and Lerch Zeta Functions
, 2008 9 ...
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Sum of the Hurwitz-Lerch Zeta Function over Prime Numbers: Derivation and Evaluation
, 2022 For the function $f(m,p,q,n)$, where $k,s,a$ general complex numbers and $q$ any positive integer, we establish the sum of values of the Hurwitz-Lerch zeta function $\Phi(f(m,p,q,n),k,a)$ taken at prime numbers $n$. Special cases of this sum are evaluated in terms of products of trigonometric functions and Catalan's constant $K$.
Reynolds, Robert, Stauffer, Allan
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The density function for the value-distribution of Lerch zeta-functions and its applications
, 2018 The probabilistic study of the value-distribution of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a probability density function related to the value-distribution of Lerch zeta-functions.
Mine, Masahiro
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Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator
Le Matematiche, 2014 In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions ...
Gangaharan Murugu Sundaramoorthy
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Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Entropy (Basel), 2023 Wang F, Kooij RE.
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Value distribution of Lerch and periodic Hurwitz Zeta-functions
, 2018 In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function. To get better understanding of the zero and a-value distribution of the periodic Hurwitz zeta-function we find the asymptotic formula for the number of nontrivial zeros
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Univalency and starlikeness of normalized Hurwitz-Lerch Zeta function inside unit disk [PDF]
Journal of Mathematical Inequalities, 2017 Deepak Bansal, Janusz Sokół
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INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES
Communications of the Korean Mathematical Society, 2017 Rakesh K. Parmar, Ram K. Saxena
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