International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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EXTENSION OF NEW GENERALIZED MELLIN TRANSFORM M_ΑTO A CLASS OF GENERALIZED FUNCTIONS

    3 Author(s):  M.M.P. SINGH,SURENDRA THAKUR ,RAVI SHANKAR KUMAR

Vol -  13, Issue- 1 ,         Page(s) : 41 - 44  (2022 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

A Generalized Mellin Transform M_α has been defined on a class of Generalized functions, M_(a,b,α) & 〖M'〗_(a,b,α) has been defined 〖.M〗_(a,b,α) has been shown as a complete space . Some other properties of M_(a,b,α) has been also derived. D(I) has been shown as sub space of M_(a,b,α) . We have also proved that D(I)⊆M_(a,b,α)⊆E(I).

 [1] Apostol,T. M., Mathematics Analysis ,Addition, Wesley, Reading ,Mass, 1957.
 [2] Singh M.M.P., An Extension of P-Transform to a class of Generalized Transform  JNANABH,Vol.37,2007.
 [3] Singh, M.M.P., Analyticity  Theorem of P-Transform  RUMJ Vol.24,1993.

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