Some Mathieu–type series for the I–function occuring in the Fokker–Planck equation

Authors

  • Tibor Pogány University of Rijeka.
  • Ram K. Saxena Jain Narain Vyas University.

DOI:

https://doi.org/10.4067/S0716-09172011000100010

Abstract

Closed form expressions are obtained for a family of convergent Mathieu type a-series and its alternating variants, whose terms contain an I-function which is a generalization of the Fox's H-function. The results derived are of general character and provide an elegant generalization for the closed form expressions of these series associated with the H-function by Pogány, for Fox-Wright functions by Pogány and Srivastava and for pFq and Meijer's G-function by Pogány and Tomovski, and others.

Author Biographies

Tibor Pogány, University of Rijeka.

Faculty of Maritime Studies.

Ram K. Saxena, Jain Narain Vyas University.

Department of Mathematics and Statistics.

References

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Published

2011-05-25

How to Cite

[1]
T. Pogány and R. K. Saxena, “Some Mathieu–type series for the I–function occuring in the Fokker–Planck equation”, Proyecciones (Antofagasta, On line), vol. 30, no. 1, pp. 111–122, May 2011.

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Section

Artículos