scientific article; zbMATH DE number 7020684

zbMath1408.33023MaRDI QIDQ4621445

Feng Qi

Publication date: 12 February 2019

Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2018/12/09_R1161_AAM_Qi_Posted_121718_pp750_755.pdf

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zbMATH Keywords

ordinary differential equationgenerating functionLaguerre polynomialFaà di Bruno formulacoefficientBell polynomial of the second kindLah inversion formulasimplifying

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (6)

Unnamed Item ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function ⋮ Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind ⋮ Unnamed Item ⋮ Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some identities of Laguerre polynomials arising from differential equations
• Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
• Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
• Explicit formulas and recurrence relations for higher order Eulerian polynomials
• Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
• Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
• A diagonal recurrence relation for the Stirling numbers of the first kind
• Some identities related to Eulerian polynomials and involving the Stirling numbers
• Diagonal recurrence relations for the Stirling numbers of the first kind

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