Some series identities involving the generalized Apostol type and related polynomials

Sándor, 2004, vol. II Srivastava, 2001 Srivastava, 2004, Remarks on some relationships between the Bernoulli and Euler polynomials, Appl. Math. Lett., 17, 375, 10.1016/S0893-9659(04)90077-8 Apostol, 1951, On the Lerch zeta function, Pacific J. Math., 1, 161, 10.2140/pjm.1951.1.161 Srivastava, 2000, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc., 129, 77, 10.1017/S0305004100004412 Luo, 2005, Some generalizations of the Apostol–Bernoulli and Apostol–Euler polynomials, J. Math. Anal. Appl., 308, 290, 10.1016/j.jmaa.2005.01.020 Luo, 2006, Apostol–Euler polynomials of higher order and Gaussian hypergeometric functions, Taiwanese J. Math., 10, 917, 10.11650/twjm/1500403883 Horadam, 1991, Genocchi polynomials, 145 Horadam, 1992, Negative order Genocchi polynomials, Fibonacci Quart., 30, 21 Horadam, 1992, Generation of Genocchi polynomials of first order by recurrence relations, Fibonacci Quart., 30, 239 Jang, 2008, On the distribution of the q-Euler polynomials and the q-Genocchi polynomials of higher order, J. Inequal. Appl., 2008, 1, 10.1155/2008/723615 Kim, 2007, On the q-extension of Euler numbers and Genocchi numbers, J. Math. Anal. Appl., 326, 1458, 10.1016/j.jmaa.2006.03.037 Kim, 2008, On the multiple q-Genocchi and Euler numbers, Russian J. Math. Phys., 15, 481, 10.1134/S1061920808040055 Kim, 2001, A note on q-Euler numbers and Genocchi numbers, Proc. Japan Acad. Ser. A Math. Sci., 77, 139, 10.3792/pjaa.77.139 Luo, 2009, Fourier expansions and integral representations for the Genocchi polynomials, J. Integer Seq., 12, 1 Luo, 2009, q-extensions for the Apostol–Genocchi polynomials, Gen. Math., 17, 113 Luo, 2011, Extensions of the Genocchi polynomials and their Fourier expansions and integral representations, Osaka J. Math., 48, 291 Srivastava, 2011, Some new families of the generalized Euler and Genocchi polynomials, Taiwanese J. Math., 15, 283, 10.11650/twjm/1500406175 Ozden, 2010, A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials, Comput. Math. Appl., 60, 2779, 10.1016/j.camwa.2010.09.031 Luo, 2011, Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind, Appl. Math. Comput., 217, 5702, 10.1016/j.amc.2010.12.048 Tuenter, 2006, The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers, J. Number Theory, 117, 376, 10.1016/j.jnt.2005.06.015 Garg, 2006, Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch zeta functions, Integral Transforms Spec. Funct., 17, 803, 10.1080/10652460600926907 Lin, 2006, Some expansion formulas for a class of generalized Hurwitz–Lerch zeta functions, Integral Transforms Spec. Funct., 17, 817, 10.1080/10652460600926923 Liu, 2009, Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums, Discrete Math., 309, 3346, 10.1016/j.disc.2008.09.048 Luo, 2009, The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order, Integral Transforms Spec. Funct., 20, 377, 10.1080/10652460802564324 Luo, 2006, Some relationships between the Apostol–Bernoulli and Apostol–Euler polynomials, Comput. Math. Appl., 51, 631, 10.1016/j.camwa.2005.04.018 Srivastava, 2010, A new generalization of the Bernoulli and related polynomials, Russian J. Math. Phys., 17, 251, 10.1134/S1061920810020093 Yang, 2008, An identity of symmetry for the Bernoulli polynomials, Discrete Math., 308, 550, 10.1016/j.disc.2007.03.030 Yang, 2010, Some symmetry identities for the Euler polynomials, J. Math. Res. Exposition, 30, 457 Zhang, 2008, Several identities for the generalized Apostol–Bernoulli polynomials, Comput. Math. Appl., 56, 2993, 10.1016/j.camwa.2008.07.038