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q-Analogue of Exponential Operators and Difference Equations

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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)

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  13. M. Asif, "q-Analogue of the operational methods, fractional operators and special polynomials"
  14. M. Asif, "Generalized q-shift operators and monomial type functions"
  15. P. Nalli, "Sopra un procedimento di calcolo analogo alla integrazione", Palermom Rend., 47, pp.337~374 (1923)
  16. P. J. Olver, "Applications of Lie Group to Differential Equations" (1986), Springer-Verlag
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