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Some relations on Laguerre matrix polynomials
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نویسنده
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shehata a.
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منبع
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malaysian journal of mathematical sciences - 2015 - دوره : 9 - شماره : 3 - صفحه:443 -462
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چکیده
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The main object of this paper is to give a different approach to proof of generating matrix functions for laguerre matrix polynomials. we also obtain the hypergeometric matrix representations,addition theorem,- nite summation formula and an integral representation for laguerre matrix polynomials. we get the relations between laguerre,legendre and hermite matrix polynomials. we get the generating matrix functions for the laguerre matrix polynomials,involving the horn's and hyperge-ometric matrix functions. finally,we de ne a new generalization of the laguerre matrix polynomials with the hypergeometric matrix function.
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کلیدواژه
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Finite summation; Generating matrix function; Hypergeometric matrix functions; Integral representation; Laguerre; Legendre and Hermite matrix polynomials; Matrix functions
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آدرس
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department of mathematics,faculty of science,assiut university,assiut,egypt,department of mathematics,college of science and arts,unaizah,qassim university, Saudi Arabia
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Authors
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