ISSN ONLINE(2319-8753)PRINT(2347-6710)

All submissions of the EM system will be redirected to Online Manuscript Submission System. Authors are requested to submit articles directly to Online Manuscript Submission System of respective journal.

LAPLACE TRANSFORM OF SOME WELL KNOWN SPECIAL FUNCTIONS

Jyotindra C. Prajapati1, Bhailal P. Patel2
  1. Head, Department of Mathematical Sciences Charotar University of Science and Technology Changa, Anand-388421, Gujarat, India, E-mail: jyotindra18@rediffmail.com
  2. Head, Department of Mathematical Sciences N.V. Patel College of Pure and Applied Sciences Vallabh Vidyanagar, Gujarat, India, E-mail: bppatel74@gmail.com
Related article at Pubmed, Scholar Google

Visit for more related articles at International Journal of Innovative Research in Science, Engineering and Technology

Abstract

Integral Transforms draw the attention of many researchers and hence various types of Integral Transforms introduced time-to-time (Debnath [2], Snedon [4]). Integral Transforms play a key role in the field of Special Functions. In this paper, authors studied Laplace Transforms (this is one of the renowned Integral Transform) of several well-known Special Functions.

Keywords

Bessel's function, Hermite Polynomial, Hypergeometric function, Legendre Polynomials, Laguerre Polynomial, Laplace Transforms.

INTRODUCTION

image
image
image
image
image
image
image
image
image
image

References

[ 1 ] Khan M.A.:A note on a polynomial set generated by G(2xt-t2) for the choice G(u) =0F1(-;α; u), Acta Ciencia Indica 28; 117-126; 2002.

[ 2 ] Lokenath Debnath: Intrgral Transforms and their applications, second edition, Chapman and Hall/CRC Taylor and Francis Group, 2007.

[ 3 ] Rainville E.D. Special Functions, Macmillan, New York, 1960.

[ 4 ] Sneddon,I.N., The Use of Integral transforms, McGraw-Hill Book Company, New York, 1972.

[ 5 ] Srivastava H.M. and manocha H.L.: A treatise on generating functions, John Wiley and Sons, New York, Ellis Horwood, Chichester, 1984.