본문 바로가기
KERD
논문KCI 등재

A NEW CLASS OF PARTIALLY DEGENERATE LAGUERRE-BASED HERMITE-GENOCCHI POLYNOMIALS

Waseem A. Khan|M. GHAYASUDDIN|DIVESH SRIVASTAVA
장전수학회 (Jangjeon Mathematical Society)|2022.01|Advanced Studies in Contemporary Mathematics|제32권 제1호|pp. 71-84

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Hermite polynomialsLaguerre polynomialspartially degenerate Genocchi polynomials
주제분류수학

초록

In this paper, we introduce partially degenerate Laguerre- based Hermite-Genocchi and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Laguerre-based Hermite-Genocchi and derive some interesting proper- ties and identities. The results obtained are of general character and can be reduced to yield formulas and identities for relatively simple polyno- mials and numbers.

Abstract

In this paper, we introduce partially degenerate Laguerre- based Hermite-Genocchi and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Laguerre-based Hermite-Genocchi and derive some interesting proper- ties and identities. The results obtained are of general character and can be reduced to yield formulas and identities for relatively simple polyno- mials and numbers.

참고문헌 (25)

  1. E. T. Bell, "Exponential polynomials", Ann. of Math, 35, pp.258~277 (1934)
  2. G. Dattoli, "Operational methods and two variable Laguerre polynomials", Atti. Accad. Sci. Torino Cl. Sci. Fis. Math. Natur, 132, pp.3~9 (1998)
  3. G. Dattoli, "The generalized Laguerre polynomials, the associated Bessel functions and applications to propagation problems", Radit. Phys. Chem, 59, pp.229~237 (2000)
  4. G. Dattoli, "Generalized polynomials and operational identities", Atti. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Natur, 134, pp.231~249 (2000)
  5. G. Dattoli, "Hermite-based and Laguerre-Bessel functions: A by-product of the mono-miality principle", Proc. Melfi Sch. Adv Top. Math. Phys, 1 (2000)
  6. L. C. Jang, "On the generalized partially degenerate Genocchi polynomials", Global J. Pure and Appl. Math., 11(6), pp.4789~4799 (2015)
  7. D. S. Kim, "Daehee numbers and polynomials", App. Math. Sci., 7(120), pp.5969~5976 (2013)
  8. D. S. Kim, "Some identities of degenerate special polynomials,", Open Math, 13, pp.380~389 (2015)
  9. D. S. Kim, "A note on the lambda-Daehee polynomials and numbers", Int. J. Math. Anal, 7(62), pp.3069~3080 (2013)
  10. 김태균, "ERRATUM TO ”A NOTE ON q-DAEHEE POLYNOMIALS AND NUMBERS” [ADVANCED STUDIES IN CONTEMPORARY MATHEMATICS 24:2 (2014)", Advanced Studies in Contemporary Mathematics, 24(3), pp.421~421 (2014), 장전수학회
  11. T. Kim, "A note on partially degenerate Bernoulli numbers and polynomials", J. Math. Anal, 6, pp.1~6 (2015)
  12. Hye Kyung Kim, "SOME IDENTITIES OF A NEW TYPE OF DEGENERATE POLY-FROBENIUS-EULER POLYNOMIALS AND NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 24(1), pp.33~45 (2021), 장전수학회
  13. W. A. Khan, "A new class of partially degenerate Hermite-Genocchi polynomials", J. Nonlinear Sci. Appl., 10, pp.5072~5081 (2017)
  14. Waseem Ahmad Khan, "Some Properties of the Generalized Apostol Type Hermite- Based Polynomials", Kyungpook Mathematical Journal, 55(3), pp.597~614 (2015), 경북대학교 자연과학대학 수학과
  15. W. A. Khan, "A note on degenerate Hermite-poly-Bernoulli numbers and polynomials", J. Classical Anal, 8(1), pp.65~76 (2016)
  16. W. A. Khan, "Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials", Springer Plus, 5, pp.1920~ (2016)
  17. WASEEM A. KHAN, "Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomials", Advanced Studies in Contemporary Mathematics, 28(3), pp.487~496 (2018), 장전수학회[DOI]
  18. 칸, "A new class of degenerate Frobenius-Euler-Hermite polynomials", Advanced Studies in Contemporary Mathematics, 28(4), pp.567~576 (2018), 장전수학회[DOI]
  19. W. A. Khan, "Degenerate Hermite poly-Bernoulli numbers and polynomials with q parameter", Stud. Univ. Babes-Bolyai Math, 65(1), pp.3~15 (2020)
  20. W. A. Khan, "Note on the type 2 degenerate multi-poly-Euler polynomials", Symmetry, 12, pp.1691~ (2020)
  21. M. A. Pathan, "Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials", Mediterr. J. Math, 12, pp.679~695 (2015)
  22. S. K. Sharma, "A parametric kind of the degenerate Fubini numbers and polynomials", Mathematics, 8(405) (2020)
  23. S. K. Sharma, "New type of degenerate Daehee polynomials of the second kind", Adv. Di er. Equ, 428, pp.2020~ (2020)[DOI]
  24. S. K. Sharma, "Construction of the type 2degenerate central Fubini polynomials and certain its properties", Adv. Differ. Equ, 587, pp.14~ (2020)[DOI]
  25. S. K. Sharma, "A note on degenerate poly-Genocchi polynomials", Int. J. Adv. Appl. Sci, 7(5), pp.1~5 (2020)

관련 논문AI추천

Some identities of the partially degenerate Changhee-Genocchi polynomials and numbers권종겸, 김윤재, 손교용, 이정곤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호On the Hermite based Genocchi polynomialsBURAK KURT, YILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomialsMoin Ahmad, WASEEM A. KHAN장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호A new class of degenerate Frobenius-Euler-Hermite polynomials칸장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호A new class of Laguerre poly-Bernoulli numbers and polynomialsN. U. Khan, T. USMAN장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호

이 간행물의 다른 논문 (10건)

TENSOR PRODUCTS OF IRREDUCIBLE FINITE-DIMENSIONAL LOCALLY BOUNDED PSEUDOREPRESENTATIONS OF CONNECTED SIMPLE LIE GROUPSA. I. Shternpp. 1-4COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF BI-PRESTARLIKE FUNCTIONS ASSOCIATED WITH THE GEGENBAUER POLYNOMIALK. Vijaya, H. Ö. guney, G. MURUGUSUNDARAMOORTHYpp. 5-16HALPERN ITERATION PROCESS FOR APPROXIMATING SOLUTIONS OF MONOTONE YOSIDA VARIATIONAL INCLUSION, MINIMIZATION AND FIXED POINT PROBLEMSAKINDELE ADEBAYO MEBAWONDU, HAMMED ANUOLUWAPO ABASSpp. 17-30ROTATING NAVIER-STOKES-α EQUATIONS: EXPONENTIAL ATTRACTORS IN HILBERT AND BANACH SPACESBong-Sik Kimpp. 31-44Cartesian products over extended index matricesKrassimir Atanassovpp. 45-52
원문 보기