Mittag-Leffler based Bessel and Tricomi functions via umbral approach
DOI10.1016/s0034-4877(23)00051-4MaRDI QIDQ6072221
Hari Ponnama Rani, Tabinda Nahid
Publication date: 12 October 2023
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Umbral calculus (05A40) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Integral transforms of special functions (44A20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10)
Cites Work
- The spherical Bessel and Struve functions and operational methods
- Sumudu transform fundamental properties investigations and applications
- Finding discrete Bessel and Tricomi convolutions of certain special polynomials
- Analytical investigations of the Sudumu transform and applications to integral production equations
- Several characterizations of Bessel functions and their applications
- Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations
- Identities involving 3-variable Hermite polynomials arising from umbral method
- Complex Appell-Bessel functions and their degenerate analogs
- Sumudu transform and the solution of integral equations of convolution type
- Fourier Transforms and Ulam Stabilities of Linear Differential Equations
- Operational, umbral methods, Borel transform and negative derivative operator techniques
- Mittag-Leffler Functions, Related Topics and Applications
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