Search
Search Results
-
On Properties of an Entire Function That is a Generalization of the Wright Function
In this paper, we examine properties of an entire function that is a generalization of the Wright function. Various representations, estimates, and...
-
On a module containment theorem of piecewise continuous almost periodic functions and its application
This paper is concentrated on giving a module containment theorem for piecewise continuous almost periodic functions (pcap function for short). One...
-
Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. One of the main goals in this...
-
On σ-type zero of Sheffer polynomials
The main object of this paper is to investigate some properties of σ -type polynomials in one and two variables.
MSC: 33C65, 33E99, 44A45, 46G25.
-
Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions
In this paper, we study the convolution sums involving restricted divisor functions, their generalizations, their relations to Bernoulli numbers, and...
-
-
Orthogonal and diagonal dimension fluxes of hyperspherical function
In this paper, we present the theoretical research results of certain characteristics of the generalized hyperspherical function with two degrees of...
-
Ramanujan’s enigmatic formula for the harmonic series
We give a natural derivation of a formula of Ramanujan, described by B.C. Berndt as “enigmatic”, for the harmonic series.
-
Some certain properties of the generalized hypercubical functions
In this article, the results of theoretical research of the generalized hypercube function by generalizing two known functions referring to the cube...
-
Equivalence of \(n\)-point Gauss–Chebyshev rule and \(4n\)-point midpoint rule in computing the period of a Lotka–Volterra system
Two integrals (3.6), (4.7) for the period of a periodic solution of the Lotka–Volterra system are presented in terms of two inverse functions of
... -
Sur un théorème de P. Lelong pour les fonctions solutions d'une équation aux dérivées partielles elliptique
L'objet principal de ce travail est de généraliser un résultat de P. Lelong d'après lequel certaines fonctions analytiques de deux groupes variables...
-
On q-analogues of Riemann's zeta function
In the paper, we introduce q -deformations of the Riemann zeta function, extend them to the whole complex plane, establish a q -counterpart of the T log T ...
-
A New Method for Investigating Euler Sums
Euler discovered a recursion formula for the Riemann zeta function evaluated at the even integers. He also evaluated special Dirichlet series whose...
-
Ouverts d"harmonicité pour les fonctions séparément harmoniques
Let D ⊂ℝ N , G ⊂ℝ M be two open sets, E ⊂ D and F ⊂ G two compact sets which satisfy the condition (H) (that is a harmonic condition similar to Leja"s...