Integral transform involving Bessel’s function

Yıl 2017, Cilt: 5 Sayı: 2, 168 - 172, 30.03.2017

N. U. Khan Tarannum Kashmin

https://izlik.org/JA63XX55FJ

Öz

The main object of this paper is to obtain an integral transform involving Bessel’s function into Appell’s function, which

generalize a well known class of hypergeometric function of some Kampe’ de Fe’riet, Srivastava function F⁽³⁾, Appell’s function F₂,

F₄  and Horn function H₃. A number of known and new transformations are also discussed as the special cases of our main result.

Anahtar Kelimeler

Bessel function , Appell’s function

Kaynakça

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• Erdelyi, A. Table of Integral Transforms, Vol.I, McGraw-Hill, New York, (1954).
• Erdelyi, A. Table of Integral Transforms, Vol.II, McGraw-Hill, New York, (1954).
• Prudnikov, A. P. Integrals and Series, Vol. 3, More special functions, Gordon and Breach Science Publishers, New York,(1990).
• Srivastav, H. M, Karlsson, P. W. Multiple Gaussian hypergeometric series, Halsted Press (Ellis Horwood Limited, Chichester),John Wiley and sons, New York, Chichester Brisbane, Toronto (1985).
• Srivastava, H. M, Manocha, H.L. A Treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and sons, New York,(1984).