LAPLACE TRANSFORM OF SOME WELL KNOWN SPECIAL FUNCTIONS

Jyotindra C. Prajapati; Bhailal P. Patel

LAPLACE TRANSFORM OF SOME WELL KNOWN SPECIAL FUNCTIONS

Jyotindra C. Prajapati¹, Bhailal P. Patel²

Head, Department of Mathematical Sciences Charotar University of Science and Technology Changa, Anand-388421, Gujarat, India, E-mail: jyotindra18@rediffmail.com
Head, Department of Mathematical Sciences N.V. Patel College of Pure and Applied Sciences Vallabh Vidyanagar, Gujarat, India, E-mail: bppatel74@gmail.com

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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

References

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