Results 81 to 90 of about 5,498,636 (143)
Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 2019 In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao +2 more
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An operator defined by convolution involving the generalised Hurwitz-Lerch Zeta function
, 2012 In this article, we studied the generalised Hurwitz-Lerch zeta function. We defined a new operator and introduced a new class of function.
Husna Zayadi
core
AxiomsFuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit ...
Ekram E. Ali +3 more
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Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series [PDF]
, 2015 This paper extends tools developed by Crandall (2012) [16] to provide robust, high-precision methods for computation of the incomplete Gamma function and the Lerch transcendent.
Borwein, JM, Bailey, DH
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, 2002 The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the ...
Laurinčikas, Antanas +1 more
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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function [PDF]
, 2010 Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
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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.
europepmc +1 more source
On a Weighted Series of the Hurwitz Zeta Function
, 2023 In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
core
Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials
MathematicsThe results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case.
Damla Gun +2 more
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The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their ...
Firas Ghanim +3 more
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