대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제56권1호
  • /
  • Pages.151-167
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  • 2019
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS

  • Ali, Mahvish (Department of Mathematics Aligarh Muslim University) ;
  • Khan, Subuhi (Department of Mathematics Aligarh Muslim University)
  • 투고 : 2018.02.17
  • 심사 : 2018.08.16
  • 발행 : 2019.01.31
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⟨ 이전 논문 다음 논문 ⟩

초록

In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasimonomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.

키워드

TABLE 1. Certain members belonging to the Appell family

E1BMAX_2019_v56n1_151_t0001.png 이미지

TABLE 2. Results for pHn(v)(x)

E1BMAX_2019_v56n1_151_t0002.png 이미지

TABLE 3. Results for pBn(a)(x)

E1BMAX_2019_v56n1_151_t0003.png 이미지

TABLE 4. Results for pEn(a)(x)

E1BMAX_2019_v56n1_151_t0004.png 이미지

참고문헌

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