论文信息 - Laguerre-type bessel functions

Laguerre-type bessel functions

In the framework of the ‘monomiality principle’, we introduce a class of Bessel-type functions which can be derived by applying the properties of an isomorphism, related to the so called Laguerre-type exponentials. Further extensions and possible generalizations to the multivariable case are mentioned.

[1] Pierpaolo Natalini,et al. Particular Solutions for a Class of ODE Related to the L-Exponential Functions , 2004 .

[2] G. Maroscia,et al. Explicit solutions of multidimensional pseudo-classical BVP in the half-space , 2004, Math. Comput. Model..

[3] A. W. Kemp,et al. A treatise on generating functions , 1984 .

[4] Larry C. Andrews,et al. Special Functions Of Mathematics For Engineers , 2022 .

[5] P. E. Ricci,et al. Multi-index polynomials and Bessel functions and applications to statistical problems , 2003 .

[6] Gabriella Bretti,et al. MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS , 2004 .

[7] Giuseppe Dattoli,et al. Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions , 2003 .

[8] Clemente Cesarano,et al. Laguerre-type exponentials and generalized Appell polynomials , 2004 .

[9] P. Ricci,et al. Operational Identities for Circular and Hyperbolic Functions and Their Generalizations , 2003 .

[10] C. E. Gutiérrez. The Heat Equation , 2007 .

[11] Youssèf Ben Cheikh,et al. Some results on quasi-monomiality , 2003, Appl. Math. Comput..

[12] H. W. Gould,et al. Operational formulas connected with two generalizations of Hermite polynomials , 1962 .

[13] P. Appell,et al. Sur une classe de polynômes , 1880 .

[14] Giuseppe Dattoli,et al. Theory and applications of generalized Bessel functions , 1996 .