ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS

Journal Title: Проблемы анализа-Issues of Analysis - Year 2018, Vol 7, Issue 2

Abstract

We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous differential equations.

Authors and Affiliations

V. A. Gorelov

Keywords

Related Articles

The approximate conformal mapping onto multiply connected domains

The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with N circular slits or an annulus with...

KOEBE DOMAINS FOR THE CLASS OF TYPICALLY REAL ODD FUNCTIONS

In this paper we discuss the generalized Koebe domains for the class T^(2) and the set D ⊂ Δ = {z in C : |z| < 1}, i.e. the sets of the form T f in TM f(D). The main idea we work with is the method of the envelope. We de...

Solvability of the difference equations for the dynamics of cumulative sums

We consider the linear system of difference equations for the cumulative sum used in detecting network attacks. In the flow of events each can be dangerous with the known probability, in this case the cumulative sum is i...

ГРАДИЕНТНАЯ ИДЕНТИФИКАЦИЯ ЭВОЛЮЦИОННЫХ СЕТОЧНЫХ ЗАДАЧ

В статье предлагается эффективный метод вычисления гра- диента конечномерного функционала на пространстве большой размерности с ограничениями особой структуры (уравнения не- линейной эволюционной сеточной краевой задачи)...

ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART

In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is...

Download PDF file
  • EP ID EP437230
  • DOI 10.15393/j3.art.2018.4490
  • Views 90
  • Downloads 0

How To Cite

V. A. Gorelov (2018). ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS. Проблемы анализа-Issues of Analysis, 7(2), 39-46. https://europub.co.uk/articles/-A-437230