On new families of integral transforms for the solution of partial differential equations

DOI10.1080/10652460500105966zbMath1082.35011OpenAlexW2145255260MaRDI QIDQ3368573

Paolo Emilio Ricci, Giuseppe Dattoli, Maria Renata Martinelli

Publication date: 31 January 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500105966

zbMATH Keywords

Laguerre-type polynomialsevolution problemsTricomi functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for linear higher-order PDEs (35G10)

Related Items (7)

The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Generalized Tricomi and Hermite-Tricomi functions ⋮ Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials ⋮ Laguerre-type exponentials and generalized Appell polynomials ⋮ Laguerre-type derivatives: Dobiński relations and combinatorial identities ⋮ BEYOND SUMUDU TRANSFORM AND NATURAL TRANSFORM: <inline-formula><tex-math id="M1">$ {\mathbb J} $</tex-math></inline-formula>-TRANSFORM PROPERTIES AND APPLICATIONS ⋮ New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations

Cites Work

• Unnamed Item
• Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions

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