Special Numbers on Analytic Functions

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References

[1] Chang, C.-H. and Ha, C.-W. (2006) A Multiplication Theorem for the Lerch Zeta Function and Explicit Representations of the Bernoulli and Euler polynomials. Journal of Mathematical Analysis and Applications, 315, 758-767.

http://dx.doi.org/10.1016/j.jmaa.2005.08.013

[2] Cigler, J. Fibonacci Polynomials and Central Factorial Numbers. Preprint.

http://homepage.univie.ac.at/johann.cigler/preprints/central-factorial.pdf

[3] Comtet, L. (1974) Advanced Combinatorics: The Art of Finite and Infinite Expansions. Reidel, Dordrecht and Boston, (Translated from the French by J. W. Nienhuys).

[4] Kim, T. (2002) q-Volkenborn integration. Russian Journal of Mathematical Physics, 19, 288-299.

[5] Kim, T. (2006) q-Euler Numbers and Polynomials Associated with p-Adic q-Integral and Basic q-zeta Function. Trends in International Mathematics and Science Study, 9, 7-12.

[6] Jang, L.C. and Kim, T. (2008) A New Approach to q-Euler Numbers and Polynomials. Journal of Concrete and Applicable Mathematics, 6, 159-168.

[7] Kim, D.S. and Kim, T. (2013) Daehee Numbers and Polynomials. Applied Mathematical Sciences, 7, 5969-5976.

[8] Kim, D.S., Kim, T. and Seo, J. (2013) A Note on Changhee Numbers and Polynomials. Advanced Studies in Theoretical Physics, 7, 993-1003.

[9] Rainville, E.D. (1960) Special Functions. The Macmillan Company, New York.

[10] Simsek, Y. (2010) On q-Deformed Stirling numbers. International Journal of Computer Mathematics, 15, 70-80.

[11] Simsek, Y. (2010) Complete sum of products of (h,q)-Extension of Euler Polynomials and Numbers. Journal of Difference Equations and Applications, 16, 1331-1348.

http://dx.doi.org/10.1080/10236190902813967

[12] Simsek, Y. (2013) Identities Associated with Generalized Stirling Type Numbers and Eulerian Type Polynomials. Mathematical and Computational Applications, 18, 251-263.

[13] Simsek, Y. (2013) Generating Functions for Generalized Stirling type Numbers, Array Type Polynomials, Eulerian Type Polynomials and Their Applications. Fixed Point Theory and Applications, 87, 343-1355.

[14] Schikhof, W.H. (1984) Ultrametric Calculus: An Introduction to p-Adic Analysis. Cambridge Studies in Advanced Mathematics 4, Cambridge University Press, Cambridge.

[15] Srivastava, H.M. (2011) Some Generalizations and Basic (or q-) Extensions of the Bernoulli, Euler and Genocchi Polynomials. Applied Mathematics & Information Sciences, 5, 390-444.

[16] Srivastava, H.M., Ozarslan, M.A. and Kaanoglu, C. (2010) Some Families of Generating Functions for a Certain Class of Three-Variable Polynomials. Integral Transforms and Special Functions, 21, 885-896.

http://dx.doi.org/10.1080/10652469.2010.481439

[17] Srivastava, H.M. and Choi, J. (2012) Zeta and q-Zeta Functions and Associated Series and Integrals. Elsevier Science Publishers, Amsterdam, London and New York.

[18] Srivastava, H.M., Kim, T. and Simsek, Y. (2005) q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-Series. Russian Journal of Mathematical Physics, 12, 241-268.

[19] Srivastava, H.M. and Liu, G.-D. (2009) Some Identities and Congruences Involving a Certain Family of Numbers. Russian Journal of Mathematical Physics, 16, 536-542.

http://dx.doi.org/10.1134/S1061920809040086