논문KCI 등재
q-Analogue of Exponential Operators and Difference Equations
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The present paper envisages the q-analogue of the exponential operators, determined by G. Dattoli and his collaborators for translation and diffusive operators which were utilized to establish analytical solutions of difference and integral equations. The generalization of their technique is expected to cover wide range of such utilization
Abstract
The present paper envisages the q-analogue of the exponential operators, determined by G. Dattoli and his collaborators for translation and diffusive operators which were utilized to establish analytical solutions of difference and integral equations. The generalization of their technique is expected to cover wide range of such utilization
참고문헌 (20)
- J. Cigler, "Operatormethoden f¨ur q-Identitaten", Monatshefte f¨ur Mathematik, 88, pp.87~105 (1979)
- G. Dattoli, "it Exponential oprators and generalized difference equations", Nuovo Cimento B, 115, pp.653~662 (2000)
- G. Dattoli, "Evolution operators equations: Integration with algebraic and finite difference methods, Applications to physical problems in classical and quantum field theory", Riv. Nuovo Cimento, 20, pp.1~133 (1997)
- T. Ernest, "The History of q-Calculus and a new method, Licentiate Thesis, Department of Mathematics", Master, Department of Mathematics
- "q-Bernoulli and q-stirling numbers, an umbral approach"[URL]
- L. Faddeev, , Phys. Lett., B315, pp.311~ (1993)
- D. B. Fairlie, "q-Analysis and Quantum Groups, in Proc. of Symmetries in Sciences V" (1991), Plenum Press
- G. Gasper, "Basic Hypergeometric Series" (2004), Cambridge University Press
- F. H. Jackson, , Q. J. Math. Oxford Ser, 2, pp.1~ (1951)
- Ch. Jordan, "Calculus of Finite Differences" (1939), Rotting and Romwalter
- V. Kac, "Quantum calculus" (2002), Springer-Verlag
- M. Asif, "q-Analogue shift operators and pseudo-polynomials of fractional order"
- M. Asif, "q-Analogue of the operational methods, fractional operators and special polynomials"
- M. Asif, "Generalized q-shift operators and monomial type functions"
- P. Nalli, "Sopra un procedimento di calcolo analogo alla integrazione", Palermom Rend., 47, pp.337~374 (1923)
- P. J. Olver, "Applications of Lie Group to Differential Equations" (1986), Springer-Verlag
- M. P. Sch¨utzenberger, "Comptes Rendus des Seances de lAcademie des Sciences", 236, pp.352~353 (1953)
- J. F. Steffensen, "Interpolation" (1950), Chelsia
- M. A. Ward, "Calculus of sequences", Amer. J. Math., 58, pp.255~266 (1936)
- W. Witschel, "On Baker-Campbell-Hausdorff operator disentangling by similarity transformations", Phys. Lett. A, 111, pp.383~388 (1985)
관련 논문AI추천
On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric FunctionsRajendra Kumar Yadav, Sunil Dutt Purohit경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative OperatorSunil Dutt Purohit경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제4호Operational calculus associated with certain families of generating functionsRehana Khan, Subuhi Khan대한수학회 · 대한수학회논문집2015 · 제30권 제4호A New Class of Hermite-Konhauser Polynomials together with Differential EquationsMaged Gumaan Bin-Saad경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호A note on $q$-difference operatorsJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회논문집2002 · 제17권 제3호Certain results involving fractional operators and special functionsArman Aghili강원경기수학회 · 한국수학논문집2019 · 제27권 제2호
이 간행물의 다른 논문 (13건)
Iterative Algorithm for a New System of Variational Inclusions with B-monotone Operators in Banach Spaces이상근, 정재욱pp. 307-318Sequence Space m(M,ϕ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy MetricStuti Borgohain, Binod Chandra Tripathypp. 319-332Eigenvalues of Type r of the Basic Dirac Operator on Kähler Foliations정승달pp. 333-340Supra b-irresolutness and Supra b-connectedness on Topological SpaceTakashi Noiri, Osama Rashed Sayedpp. 341-348Some Further Results on Uniqueness of Entire Functions and Fixed PointsLian-Zhong Yang, Yan Liupp. 371-383
