New representations of the Voigt functions

• Autorzy: Pathan M. , Shahwan M.
• Języki publikacji: EN

Abstrakty

EN

This paper aims at some representations of generalized Voigt functions and their extensions in terms of series and integrals which are specially useful in situations when the parameters take on particular values. Explicit representations of these functions are given in terms of familiar special functions of one and two variables. The Voigt integrals and series resulting in connections with the Lommel, Struve, Laguerre and parabolic cylinder functions and ultimately the Kampe de Feriet function will follow as natural consequences for analytical evaluations and uses.

Słowa kluczowe

EN

Voigt function; Bessel function; parabolic cylinder functions; Laguerre polynomials

PL

funkcja Voigta; funkcja Bessela; funkcje paraboliczne; wielomiany Laguerre

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 1
• Strony: 75--80
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Pathan M.

autor

Shahwan M.

• Department of Mathematics Aligarh Muslim University, Aligarh-202002, India,

Bibliografia

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• [2] H. M. Srivastava and M. P. Chen, Some unified presentations of the Voigt functions, Astrophys. Space Sci. 192 (1992), 63-74.
• [3] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Ltd., Chichester) New York, 1984.
• [4] H. M. Srivastava and E. A. Miller, A unified presentation of the Voigt functions, Astrophys. Space Sci. 135 (1989), 111-115.
• [5] H. M. Srivastava, M. A. Pathan and M. Kamarujjama, Some unified presentations of the generalized Voigt functions, Comm. Appl. Anal. 2 (1) (1998), 49-64.
• [6] M. A. Pathan, M. Kamarujjama and M. K. Alam, On multiindices and multi-variable presentations of the Voigt functions, J. Comput. Appl. Math. 160 (2003), 251-257.
• [7] A. P. Prudnikov et al., Integrals and Series, Vol.3, Gordon and Breach Science Publishers, New York, 1990.