Differential equation of Appell polynomials via the factorization method
By M. He, Paolo Emilio Ricci. 2002
85 citations recorded by the source corpus.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d53658a4623b039f8bb0ba3edda6a0deb0e7b934
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In Applied Mathematics
- Gabriella Bretti
- M. A. Özarslan
- Banu Yilmaz
- Hari M. Srivastava
- Pierpaolo Natalini
- Paolo Emilio Ricci
- Qiu-Ming Luo
- Dumitru Băleanu
In Atomic and Molecular Physics, and Optics
- Gabriella Bretti
- M. A. Özarslan
- Hari M. Srivastava
- Banu Yilmaz
- Pierpaolo Natalini
- Paolo Emilio Ricci
In Statistical and Nonlinear Physics
- Gabriella Bretti
- M. A. Özarslan
- Hari M. Srivastava
- Banu Yilmaz
- Pierpaolo Natalini
- Paolo Emilio Ricci
Citations in the corpus
- Some Families of Differential Equations Associated with the Hermite-Based Appell Polynomials and Other Classes of Hermite-Based Polynomials (2014, methodology): “Earlier, in the year 2002, He and Ricci [10] made use of the factorization method in order to derive the differential equations for the one-variable Appell polynomials.”
- MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS (2004, methodology): “The Bernoulli numbers (see [4-16]) enter in many mathematical formulas, such as • the Taylor expansion in a neighborhood of the origin of the circular and hyperbolic tangent and cotangent functions, • the sums of powers of natural numbers, • the residual term of the Euler-MacLaurin quadrature rule.”
- Generalizations of the Bernoulli and Appell polynomials (2004, methodology): “It is worth noting that recently Professor Ismail [17], avoiding the use of the factorization method, was able to prove that the differential equation of infinite order satisfied by the Appell polynomials is nothing special since it can be stated for a general polynomial family.”