Some simple representations of the generalized hypergeometric function 2R1 (a, b; b; c; s; x)

The field of special functions has had a great development in recent decades since there are many phenomena that can be studied by using them, such as related stochastic processes, operations research, quantum theory, functional equations, plate vibration, heat conduction, elasticity, and radiation. This paper considers an extension of the theories presented by M. Dotsenko in 1991, who introduced the generalization of the Gage hypergeometric function, denoted by 2R1τ (z), and established its representation in series and integral. It is important to note that in 1999 Nina Virchenko and then, in 2003, Leda Galué considered this function, introducing a set of recurrence and differentiation formulas. In this work some simple representations for the function 2R1τ (a, b; c; τ; z) are established, which will be very useful in future investigations since they allow simplifying calculations when solving problems involving this function.

• Autores: Castillo Pérez, Jaime; Jiménez Ruiz, Carlos
• Fecha de publicación: 2006
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: spa
• OAI Identifier: oai:repository.eafit.edu.co:10784/14554
• Acceso en línea: http://hdl.handle.net/10784/14554
• Palabra clave: Generalized Hypergeometric Function; Simple Representations; Función Hipergeométrica Generalizada; Representaciones Simples
• License: Copyright (c) 2006 Jaime Castillo Pérez, Carlos Jiménez Ruiz