Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2018.02.17
  • Accepted : 2018.08.16
  • Published : 2019.01.31
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Abstract

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.

Keywords

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

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