Project Euclid

References

• Andrews, L.C, Special functions for engineers and mathematicians, Macmillan. Co., New York, 1985.
• Bell, E.T, Exponential polynomials, Ann. Math., 35 ( 1934), 258-277.
• Comtet, L, Advanced combinatorics: The art of finite and infinite expansions, (Translated from french by J.W. Nienhuys), Reidel, Dordrecht, 1974.
  Zentralblatt MATH: 0283.05001
  
• Dattoli, G, Srivastava, H.M., Cesarano, C., The Laguerre and Legendre polynomials from an operational point of view, Appl. Math. Comput. 124 (2001), 117-127.
  Zentralblatt MATH: 1036.33008
  Digital Object Identifier: doi:10.1016/S0096-3003(00)00082-5
  
• Exton, H, A new generating function for the associated Laguerre polynomials and resulting expansions, Jnanabha, 13 (1983), 147-149.
  Zentralblatt MATH: 0532.33009
  
• Erdelyi, A, Magnus, W, Oberhettinger, F and Tricomi, F, Higher transcendental functions, Vols.1-3, New York: McGraw-Hill 1953.
  Zentralblatt MATH: 0052.29502
  
• Khan, S, Al-Saa, M.W and Khan, R, Laguerre-based Appell polynomials: properties and application, Math. Comput. Model., 52 ( 2010), 247-259.
• Khan, S, Gonah, A.A, Certain results for the Laguerre-Gould Hopper polynimals, Appl. Appl. Math., 9 (2) (2014), 449-466.
  Zentralblatt MATH: 1305.33001
  
• Kurt, B, A further generalization of Bernoulli polynomials and on the 2D -Bernoulli polynomials $B_{n}^{2}(x,y)$, Appl. Math. Sci., 4 (2010), 2315-2322.
  Zentralblatt MATH: 1220.11030
  
• Natalini, Pierpaolo and Bernardini, Angela, A generalization of the Bernoulli polynomials, J. Appl. Math., 3 (2003), 155-163.
  Zentralblatt MATH: 1019.33011
  Digital Object Identifier: doi:10.1155/S1110757X03204101
  Project Euclid: euclid.jam/1049725735
  
• Pathan, M.A, Generating functions of the Laguerre-Bernoulli polynomials involving bilateral Series, South East Asian J. Math. Math. Sci., 3 (1) (2004), 33-38.
  Zentralblatt MATH: 1063.33011
  
• Pathan, M.A, A new class of generalized Hermite-Bernoulli polynomials, Georgian Math. J., 19 (2012), 559-573.
  Zentralblatt MATH: 1250.33014
  Digital Object Identifier: doi:10.1515/gmj-2012-0019
  
• Pathan, M.A and Yasmeen, On partly bilateral and partly unilateral generating functions, J. Austral. Math. Soc. Ser. B, 28 ( 1986), 240-245.
  Zentralblatt MATH: 0612.33001
  Digital Object Identifier: doi:10.1017/S0334270000005336
  
• Pathan, M.A and Khan, W.A, Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials, Mediterr. J. Math., 12 (2015), 679-695.
  Zentralblatt MATH: 1320.33019
  Digital Object Identifier: doi:10.1007/s00009-014-0423-0
  
• Srivastava, H.M and Manocha, H.L, A treatise on generating functions, Ellis Horwood Limited. Co. New York, 1984.
  Zentralblatt MATH: 0535.33001
  
• Srivastava, H.M, Pathan, M.A and Bin Saad, M.G, A certain class of generating functions involving bilateral series, ANZIAM J., 44 ( 2003), 475-483.
  Zentralblatt MATH: 1052.33005
  Digital Object Identifier: doi:10.1017/S1446181100008154
  
• Srivastava, H.M., Özarslan, M.A., Yilmaz, B., Some Families of Differential Equations Associated with the Hermite-Based Appell Polynomials and Other Classes of Hermite-Based Polynomials, Filomat 28:4 (2014), 695-708.
  Zentralblatt MATH: 06704793
  Digital Object Identifier: doi:10.2298/FIL1404695S
  
• Srivastava, H.M., Özarslan, M. A., Kaanoğlu, C., Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, Russian J. Math. Phys. 20 (2013), 110-120.
  Zentralblatt MATH: 1292.11043
  Digital Object Identifier: doi:10.1134/S106192081301010X