Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 24 No. 2 (2006): Revista Integración, temas de matemáticas
Research and Innovation Articles

Algunas representaciones de la función 2R1 (a,b;c;τ;z)

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  • Jaime Castillo Pérez
Jaime Castillo Pérez
Centro de Investigaciones Universidad de la Guajira
Bio

Published 2006-10-24

Keywords

  • Generalized hypergeometric function,
  • integral representation Euler type

How to Cite

Castillo Pérez, J. (2006). Algunas representaciones de la función 2R1 (a,b;c;τ;z). Revista Integración, Temas De matemáticas, 24(2), 77–85. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/256

Abstract

The field of special functions have had a remarkable development during the last decades, because there are many phenomena that can be studied by means of the use of these functions, such as related stochastic processes, operational research, quantum theory, functional equations, vibration of plates, heat conduction, elasticity, radiation. Along this paper work, an extension of the theories presented by M. Dotsenko in 1991 is considered. M. Dotsenko introduced the generalization of the hypergeometric function of Gauss referred as 2Rτ 1 (z), and established its representation as a series and as an integral. It is important to remark that in 1999 Nina Virchenko and, later in 2003, Leda Galué considered this function by introducing a set of recurrence and differentiation formulas. Along this paper work some representations of the function 2R1(a, b; c; τ; z) are established and they will be very useful since they permit simplify calculus when solving problems involving this function.

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