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Comparison of modal and zonal wavefront measurements of refractive extended depth of focus intraocular lenses. [PDF]

Biomed Opt Express
Bang SP, Jung H, Li KY, Yoon G.
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The exceptional Bessel polynomials

Integral Transforms and Special Functions, 2014
Gomez-Ullate, Kamran and Milson have found polynomial eigenfunctions of a Sturm–Liouville problem. These polynomials, denoted by X1-Laguerre and X1-Jacobi and starting with degree one, are eigenfunctions of a second-order linear differential operator. In this paper, we investigate the X1-Bessel case which we denote by .
M. J. Atia, S. Chneguir
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On a polynomial sequence associated with the Bessel operator

Proceedings of the American Mathematical Society, 2013
By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them are its explicit expression, the connection with the Euler numbers, and its integral representation via the Kontorovich-Lebedev transform.
Loureiro, Ana F., Maroni, Pascal, Yakubovich, Semyon   +2 more
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Remarks on the Bessel Polynomials

The American Mathematical Monthly, 1973
(1973). Remarks on the Bessel Polynomials. The American Mathematical Monthly: Vol. 80, No. 9, pp. 1034-1040.
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The irreducibility of the Bessel polynomials [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2002
Ognian Trifonov, Michael Filaseta
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The Basic Bessel Functions and Polynomials

SIAM Journal on Mathematical Analysis, 1981
Basic analogues of the Bessel polynomials and their generalization are introduced. These polynomials are orthogonal on the unit circle $| z | = 1$ with respect to a complex weight function. They satisfy a three-term recurrence relation, and the associated continued fraction is computed.
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Bessel polynomials and Bernoulli numbers [PDF]

Archiv der Mathematik, 1958
W. A. Al-Salam, Leonard Carlitz
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A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

AIMS Mathematics, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali   +2 more
exaly  

On the Computation of the Zeros of the Bessel Polynomials

1994
A general method for simultaneously finding the zeros of polynomial solutions to second order linear homogeneous ordinary differential equations and the alternative method of finding the eigenvalues of the Jacobi matrices associated with those polynomials, are compared with each other.
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