호남수학학술지 (Honam Mathematical Journal)

  • 제43권1호
  • /
  • Pages.141-151
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  • 2021
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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GENERALIZATION OF LAGUERRE MATRIX POLYNOMIALS FOR TWO VARIABLES

  • Ali, Asad (Department of Mathematics and Statistics, University of Agriculture Faisalabad) ;
  • Iqbal, Muhammad Zafar (Department of Mathematics and Statistics, University of Agriculture Faisalabad)
  • 투고 : 2020.11.04
  • 심사 : 2021.02.09
  • 발행 : 2021.03.25
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초록

The main object of the present paper is to introduce the generalized Laguerre matrix polynomials for two variables. We prove that these matrix polynomials are characterized by the generalized hypergeometric matrix function. An explicit representation, generating functions and some recurrence relations are obtained here. Moreover, these matrix polynomials appear as solution of a differential equation.

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참고문헌

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