Results 71 to 80 of about 5,223,805 (173)
On Generalized Hurwitz-Lerch Zeta Distributions [PDF]
In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum +2 more
core +1 more source
One estimate related to the periodic zeta-function
An estimate for the error term of the fourth moment of the periodic zetafunction is obtained.
Sondra Černigova
doaj +1 more source
Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
doaj +1 more source
A joint universality theorem for the riemann zeta-function and lerch zeta-function. [PDF]
A joint universality theorem for the Riemann zeta-function and Lerch zeta ...
Franckevič, Violeta,
core
Differential Subordination Results for Certain Integrodifferential Operator and Its Applications
We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new
M. A. Kutbi, A. A. Attiya
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Zeros of derivative of Lerch's zeta-function
In this paper, we study the distribution of the zeros of the derivative of the Lerch zeta-function. We indicate the zero-free regions and the positions of the trivial zeros. Also, we consider an asymptotic formula for the number of nontrivial zeros and show that almost all nontrivial zeros are arbitrarily close to the critical line.
Garunkštis, Ramūnas +2 more
openaire +2 more sources
A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator
By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
doaj +1 more source
Joint universality for Lerch zeta-functions
For $01$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $λ_1,\ldots,λ_m$ and transcendental $α$.
LEE, Yoonbok +2 more
openaire +3 more sources
New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci.
R.K. Raina, Min-Jie Luo
core +1 more source
Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah +1 more
doaj

