Research Article

Some new d-orthogonal polynomial sets of Sheffer type

Volume: 68 Number: 1 February 1, 2019
EN

Some new d-orthogonal polynomial sets of Sheffer type

Abstract

In this paper, we present some new Sheffer type d-orthogonal polynomial sets. Moreover, we obtain the d-dimensional functional vector ensuring the d-orthogonality of these new polynomial sets.

Keywords

References

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  2. Maroni, P., L'orthogonalit`e et les recurrences de polynomes d'ordre superieur`a deux, Ann. Fac. Sci. Toulouse, 10 (1989), 105-139.
  3. Chihara, T. S. An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, NY, 1978.
  4. Ben Cheikh, Y. and Ben Romdhane N., On d-symmetric classical d-orthogonal polynomials, J. Comput. Appl. Math., 236 (2011), 85--93.
  5. Ben Cheikh, Y. and Ben Romdhane N., d-symmetric d-orthogonal polynomials of Brenke type, J. Math. Anal. Appl., 416 (2014), 735--747.
  6. Ben Cheikh, Y. and Douak K., On the classical d-orthogonal polynomials defined by certain generating functions I, Bull. Belg. Math. Soc. 7 (2000), 107-124.
  7. Ben Cheikh, Y. and Douak K., On the classical d-orthogonal polynomials defined by certain generating functions II, Bull. Belg. Math. Soc. 8 (2001), 591-605.
  8. Ben Cheikh, Y. and Gaied M., Dunkl-Appell d-orthogonal polynomials, Integral Transforms Spec. Funct. 18 (2007), 581--597.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

March 22, 2017

Acceptance Date

November 27, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Varma, S. (2019). Some new d-orthogonal polynomial sets of Sheffer type. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 913-922. https://doi.org/10.31801/cfsuasmas.488383
AMA
1.Varma S. Some new d-orthogonal polynomial sets of Sheffer type. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):913-922. doi:10.31801/cfsuasmas.488383
Chicago
Varma, Serhan. 2019. “Some New D-Orthogonal Polynomial Sets of Sheffer Type”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 913-22. https://doi.org/10.31801/cfsuasmas.488383.
EndNote
Varma S (February 1, 2019) Some new d-orthogonal polynomial sets of Sheffer type. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 913–922.
IEEE
[1]S. Varma, “Some new d-orthogonal polynomial sets of Sheffer type”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 913–922, Feb. 2019, doi: 10.31801/cfsuasmas.488383.
ISNAD
Varma, Serhan. “Some New D-Orthogonal Polynomial Sets of Sheffer Type”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 913-922. https://doi.org/10.31801/cfsuasmas.488383.
JAMA
1.Varma S. Some new d-orthogonal polynomial sets of Sheffer type. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:913–922.
MLA
Varma, Serhan. “Some New D-Orthogonal Polynomial Sets of Sheffer Type”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 913-22, doi:10.31801/cfsuasmas.488383.
Vancouver
1.Serhan Varma. Some new d-orthogonal polynomial sets of Sheffer type. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):913-22. doi:10.31801/cfsuasmas.488383

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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