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AIMS Mathematics

2020, Volume 5, Issue 6: 5839-5858. doi: 10.3934/math.2020374
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Research article

An application of theory of distributions to the family of λ-generalized gamma function

  • Department of Basic Sciences and Humanities, College of Computer and Information Sciences Majmaah University, Al-Majmaah 11952, Saudi Arabia
  • Received: 27 March 2020 Accepted: 03 June 2020 Published: 14 July 2020

  • MSC : 33B15, 46Fxx

  • Gamma function and its generalizations always have played a basic role in various disciplines. The aim of present study is to investigate a new representation of the λ-generalized gamma function. This representation is developed by using different modified forms of delta function. This development explores their extended use as generalized functions (distributions), which are meaningful to exist over some particular space of test functions. Further to this a discussion is presented for the suitable applications of this new representation.

    Citation: Asifa Tassaddiq. An application of theory of distributions to the family of λ-generalized gamma function[J]. AIMS Mathematics, 2020, 5(6): 5839-5858. doi: 10.3934/math.2020374

    Related Papers:

  • Gamma function and its generalizations always have played a basic role in various disciplines. The aim of present study is to investigate a new representation of the λ-generalized gamma function. This representation is developed by using different modified forms of delta function. This development explores their extended use as generalized functions (distributions), which are meaningful to exist over some particular space of test functions. Further to this a discussion is presented for the suitable applications of this new representation.


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