- Marcellan , F. 1995 . A Generalization of the Classical Laguerre Polynomials . Rend. Circ. Mat. Palermo. Serie II. , 44 : 315 – 329 .
- Arriola , E.R. , Zarzo , A. and Dehesa , J. S. 1991 . Spectral Properties of the biconflu.ent Hewn differential equation . J.Comput.Appl.Math , 37 : 161 – 169 .
- Behnehdi , S. L. and Marcellan , F. 1992 . Orthogonal polynomials associated to some modifications of a linear functional . Appl. Analysis , 46 ( 1 ) : 1 – 24 .
- Bernardi , C. and Maday , Y. 1991 . “ Sonic Progress in Approximation of onedimensional fourth order problems ” . In Progress in Approximation Theory , Edited by: Nevai , P. and Pinkus , A. 13 – 116 . Academic Press. San Diego .
- Bueudfa , E. , Dehesa , S. J. and Galvez , F. J. 1988 . “ The distribution of the :eras of the polynomial eigenfunctions of ordinary differential operators of arbitrary order. In ” . In Orthogonal Polynomials and their Applications , Edited by: Alfaro et.al , M. Vol. 1329 , 222 – 235 . Berlin : Springer-Verlag . Lecture Notes in Mathematics
- Chihara , T. S. 1985 . Orthogonal polynomials and measures with end point rnasses . Rocky Mount. J. of Matli , 15 ( 3 ) : 705 – 719 .
- Chiliara , T. S. 1978 . An Introduction to Orthogonal Polynomials , New York : Gordon and Breach .
- Draidi , N. and Maroni , P. 1988 . “ Sur l'adjonr_tion de deux masses de Dirac a tine fornte regulifroe gulcongue ” . In In Polinomios ortogonales y sus aplicaciones , Edited by: Cachafeiro , A. and Godov , F. 83 – 90 . Actas del V Simposium. Universidad de Santiago. Vigo .
- Gonclhar , A. A. 1975 . On the convergence of Pade' approximants for some classes of meromorphir function. . Mat. Sb , 97 ( 139 ) : 607 – 629 .
- Koekoek , R. and Meijer , H. G. 1993 . A generalization of Laguerre polynomials . SIAM .1. Mat. Anal , 24 ( 3 ) : 768 – 782 .
- Koekoek , R. 1990 . “ Generalizations of the classical Laguerre Polynomials and some q-anulogues ” . In Doctoral Dissertation , Delft University of Technology .
- Koornwinder , T. H. 1984 . Orthogonal Polynimials with weight function (1-x)∞ (1+x) + M8(x+1) + N8 (x-1) . Canad. Math. Bull. , 27 ( 2 ) : 205 – 214 .
- Krall , A. M. 1981 . Orthogonal Polynomials satisfying a Certain fourth order differential equations . Proc. Roy. Soc. Edinburgh , 87 : 271 – 288 .
- Krall , H. L. 1940 . On Orthogonal Polynomials satisfing a certain fourth order differential equations . The Pennsylvania State Collage Bulletin , 6 : 1 – 24 .
- Lopez , G. 1989 . Conrergence of pade approximants of stieltjes type meromorphic functions and comparative asymotic for arthogonal polynomials . Math. USSR. Sb., , 64 : 207 – 227 .
- Marcellan , F. and Maroni , P. 1992 . Sur l'adjonction dune masse de Dirac a une formc reguliere et semi-classique . Ann. slat. Pura ed Appl , CLXII ( 4 ) : 1 – 22 .
- Marcellan , F. and Ronveaux , A. 1989 . Differential equations for classical type orthogonal polynomials . Canad. Math. Bull , 32 ( 4 ) : 404 – 411 .
- Nevai , P. 1979 . Orthogonal Polynomials.. Memoirs of the Amer. Math. Soc. 213 , Rhode Island : Providence .
- Nikiforov , A. F. , Suslov , S. K. and Uvarov , V. B. 1991 . “ Orthogonal Polynomials of Discrete Variables ” . In Springer Series in Computational Physics , Berlin : Springer-Verlag .
- Olver , F. W. J. 1974 . Asymptotics and Special Functions. , New York : Academic Press Inc. .
- Riordan , J. 1958 . An Introduction to Combinatorial Analysis. , New York : Wiley .
- Szegö , G. 1975 . Orthogonal Polynomials. Amer. Math. Soc. Colloq. Publ , Providence, RI. .
- Van Assche , W. 1987 . Assclie Asymptotics for Orthogonal Polynomials. Lecture Notes in Matheniatics , Berlin : Springer-Verlag .
- Wolfram , S. 1991 . Mathematica. A system for doing Mathematics by Computer. , Addison-Wesley Publishing Co. . The Advanced Book Program
- Zarzo , A. and Dehesa , J. S. 1994 . Spectral Properties of solutions of hypergeometric-type differential equations . J. Comput. Appl. Math. , 50 : 613 – 623 .
A generalization of the class laguerre polynomials: asymptotic properties and zeros
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