[PDF] Top 20 Integral and Computational representations of Generalized Hurwitz Lerch Zeta Function φ(a 1 z,s,a)
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Integral and Computational representations of Generalized Hurwitz Lerch Zeta Function φ(a 1 z,s,a)
... various integral and computational representations , ...known integral representation for generalized Riemann Zeta function is obtained as special cases of main ... See full document
6
Selberg integral involving a certain extension of the Hurwitz-Lerch Zeta function, a class of polynomials the multivariable I-function and multivariable Aleph-functions
... the generalized the sequence of functions in serie with the help of equation ...of s variables in defined by Prasad [4] in Mellin-Barnes contour integral with the help of equation ...the ... See full document
9
Some relations involving generalized Hurwitz Lerch zeta function obtained by means of fractional derivatives with applications to Apostol type polynomials
... This allows to modify the restriction Re(α) < to Re(α) < m []. Another used represen- tation for the fractional derivative is the one based on the Cauchy integral formula widely used by Osler [–]. ... See full document
13
Reduction and duality of the generalized Hurwitz-Lerch zetas
... In this paper, by means of integral representation, we introduce the generalized Hurwitz-Lerch zeta functions of arbitrary complex order. For these functions, we establish the reduction ... See full document
14
Expansion formulas for an extended Hurwitz Lerch zeta function obtained via fractional calculus
... a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et ...the generalized Leibniz rules for the fractional derivatives and the Taylor-like ... See full document
17
Selberg Integral Involving A Extension of The Hurwitz-Lerch Zeta Function, Class of Pol,Ynomials, Multivariable I-Function and Multivariable Aleph-Function II
... the generalized the sequence of functions in serie with the help of equation ...of s variables in defined by Prasad [4] in Mellin-Barnes contour integrals with the help of equation ...Selberg ... See full document
10
A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties
... of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et ...include integral representations, Mellin transformation, derivative ... See full document
9
Selberg integral involving a extension of the Hurwitz-Lerch Zeta function , a class of polynomial and the multivariable I-functions
... the Hurwitz-Lerch Zeta function in serie with the help of equation ...of s variables defined by Nambisan et al [2] in Mellin- Barnes contour integral with the help of equation ... See full document
10
Multiple Integrals Involving A Extension of The Hurwitz-Lerch Zeta Function, Class of Pol,Ynomials, Multivariable I-Function, Multivariable Aleph-Function and Product of Two Jacobi Polynomials
... the Hurwitz-Lerch Zeta function in serie with the help of equation ...of s variables in Mellin-Barnes contour integrals with the help of equation ...the integral and the ... See full document
8
Integral involving the extension of the Hurwitz-Lerch Zeta function, Bessel functions, a class of polynomials and multivariable I-functions I
... of s variables in Mellin-Barnes contour integral with the help of equation ...the integral and the summations involved in the process) and then evaluating the resulting integral with the help ... See full document
9
26. Fractional Calculus on unified class of Spiral-Like Functions involving Srivastava-ATTIYA Operator
... \ Z − 0 ; s ∈ C , when | z | < 1; R(s) > 1 when | z | = 1) where, as usual, Z − 0 := Z \ {N} , ( Z := { 0, ± 1, ± 2, ± 3, ...{ ... See full document
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5. Subclasses of starlike functions involving Srivastava-Attiya Integral operator
... the Hurwitz-Lerch Zeta function Φ(z, s, a) can be found in the recent investigations by Choi and Srivastava [5], Fer- reira and Lopez [8], Garg et ... See full document
10
Certain inequalities for the modified Bessel type function
... the integral on the right-hand side of (23) converges and can be expressed in terms of the generalized Hurwitz–Lerch zeta function with the help of the integral ... See full document
15
7. A unified class of analytic functions with negative coefficients involving the Hurwitz-Lerch Zeta function
... the Hurwitz-Lerch Zeta func- tion Φ(𝑧, 𝑠, 𝑎) can be found in the recent investigations by Choi and Srivastava [5], Ferreira and Lopez [6], Garg et ... See full document
14
Hecke operators type and generalized Apostol-Bernoulli polynomials
... The Hecke operators have many applications in various spaces like the space of elliptic modular forms, the space of polynomials and others. Many mathematicians applied them to obtain applications in analytic number ... See full document
11
SANDWICH THEOREMS FOR GENERALIZED INTEGRAL OPERATOR.
... The function F is subordinate to G, written F ≺ G, if G is univalent, F(0) = G(0) and F(U) ⊂ ...the function F(z) is said to be subordination to G(z) in U if there exists a function ... See full document
5
An integral involving the generalized zeta function
... of the Riemann zeta function at the point -1, a quantity that arises in the evaluation of determinants of Laplacians on compact Riemann surfaces... WORDS AND PHRASES..[r] ... See full document
8
Asymptotic Harmonic Behavior in the Prime Number Distribution
... Figure 1. Shown are the trajectories of continuation z ( ) λ in the complex plane z by numerical integration of (2) with initial data z 0 = + 1 ni ( n = 1, 2,3, ) indicated by ... See full document
12
Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
... and generalized harmonic numbers are involved in a variety of useful ...and generalized harmonic numbers have been studied (see, ...and generalized harmonic ... See full document
11
On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)
... the integral representation (Theorem ...this integral representation will pave the way to certain new results involving stability, hybrid subconvexity, and non-vanishing results for the L-function ... See full document
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