The Journal of the Indian Mathematical Society

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On Integral Equation Associated with Parabolic Cylinder Functions


Affiliations
1 Department of Mathematics, College of Science, Nagpur, India
     

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Parabolic cylinder functions have of late been studied by various workers. The object of the present paper is to study them by the help of the integral equation which these functions satisfy and to study some of their properties. In Art. (1) the integral equation has been obtained, in Art. (2) the recurrence formulae have been obtained from them. Articles (3) and (4) deal with several expressions of these functions. All the expressions that have been obtained are believed to be new.
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  • On Integral Equation Associated with Parabolic Cylinder Functions

Abstract Views: 224  |  PDF Views: 0

Authors

S S. Shukrey
Department of Mathematics, College of Science, Nagpur, India

Abstract


Parabolic cylinder functions have of late been studied by various workers. The object of the present paper is to study them by the help of the integral equation which these functions satisfy and to study some of their properties. In Art. (1) the integral equation has been obtained, in Art. (2) the recurrence formulae have been obtained from them. Articles (3) and (4) deal with several expressions of these functions. All the expressions that have been obtained are believed to be new.