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A New Class of Hermite-Konhauser Polynomials together with Differential Equations

Maged Gumaan Bin-Saad
경북대학교 자연과학대학 수학과|2010.06|Kyungpook Mathematical Journal|제50권 제2호|pp. 237-253

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초록

It is shown that an appropriate combination of methods, relevant to opera-tional calculus and to special functions, can be a very useful tool to establish and treat a new class of Hermite and Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Hermite and Konhauser polynomials and discuss the links with various known polynomials.

Abstract

It is shown that an appropriate combination of methods, relevant to opera-tional calculus and to special functions, can be a very useful tool to establish and treat a new class of Hermite and Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Hermite and Konhauser polynomials and discuss the links with various known polynomials.

참고문헌 (18)

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  12. Erdelyi, A., "Higher Transcenden-tal Functions, Vol. Ⅰ" (1955), McGraw-Hill
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관련 논문AI추천

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