1 |
M. Alkan and Y. Simsek, Generating function for q-Eulerian polynomials and their decomposition and applications, Fixed Point Theory Appl. 2013 (2013), 72, 14 pp.
DOI
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T. M. Apostol, On the Lerch zeta function, Pacific J. Math. 1 (1951), 161-167.
DOI
|
3 |
T. Kim, S.-H. Rim, Y. Simsek, and D. Kim, On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions, J. Korean Math. Soc. 45 (2008), no. 2, 435-453.
DOI
|
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T. Kim, C. S. Ryoo, L. C. Jang, and S. H. Rim, Exploring the sums of powers of consecutive q-integers, Internat. J. of Math. Ed. Sci. Tech. 36 (2005), no. 8, 947-956.
DOI
|
5 |
H. Ozden, I. N. Cangul, and Y. Simsek, Multivariate interpolation functions of higherorder q-Euler numbers and their applications, Abstr. Appl. Anal. 2008 (2008), Art. ID 390857, 16 pp.
|
6 |
J. Satoh, q-analogue of Riemann's -function and q-Euler numbers, J. Number Theory 31 (1989), no. 3, 346-362.
DOI
|
7 |
J. Satoh, A construction of q-analogue of Dedekind sums, Nagoya Math. J. 127 (1992), 129-143.
DOI
|
8 |
Y. Simsek, On q-analogue of the twisted L-functions and q-twisted Bernoulli numbers, J. Korean Math. Soc. 40 (2003), no. 6, 963-975.
DOI
|
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Y. Simsek, q-analogue of twisted l-series and q-twisted Euler numbers, J. Number Theory 110 (2005), no. 2, 267-278.
DOI
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Y. Simsek, Multiple interpolation functions of higher order (h, q)-Bernoulli numbers, AIP Conference Proceedings 1048 (2008), no. 486.
|
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L.-C. Jang, On a q-analogue of the p-adic generalized twisted L-functions and p-adic q-integrals, J. Korean Math. Soc. 44 (2007), no. 1, 1-10.
DOI
|
12 |
A. Bayad and T. Kim, Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator, Russ. J. Math. Phys. 23 (2016), no. 2, 164-171.
DOI
|
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I. N. Cangul, A. S. Cevik, and Y. Simsek, Generalization of q-Apostol-type Eulerian numbers and polynomials, and their interpolation functions, Adv. Stud. Contemp. Math. 25 (2015), no. 2, 211-220.
DOI
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14 |
R. Dere and Y. Simsek, Normalized polynomials and their multiplication formulas, Adv. Difference Equ. 2013 (2013), no. 31, 10 pp.
DOI
|
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M.-S. Kim and J.-W. Son, Some remarks on a q-analogue of Bernoulli numbers, J. Korean Math. Soc. 39 (2002), no. 2, 221-236.
DOI
|
16 |
T. Kim, Sums of powers of consecutive q-integers, Adv. Stud. Contemp. Math. (Kyung-shang) 9 (2004), no. 1, 15-18.
|
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T. Kim, L.-C. Jang, and C.-S. Ryoo, Note on q-extensions of Euler numbers and polynomials of higher order, J. Inequal. Appl. 2008 (2008), Art. ID 371295, 9 pp.
|
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Y. Simsek, Complete sum of products of (h, q)-extension of Euler polynomials and numbers, J. Difference Equ. Appl. 16 (2010), no. 11, 1331-1348.
DOI
|
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Y. Simsek, Generating functions for q-Apostol type Frobenius-Euler numbers and polynomials, Axioms 1 (2012), 395-403.
DOI
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T. Kim, A note on exploring the sums of powers of consecutive q-integers, Adv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 1, 137-140.
|
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T. Kim, S.-H. Rim, and Y. Simsek, A note on the alternating sums of powers of consecutive q-integers, Adv. Stud. Contemp. Math. (Kyungshang) 13 (2006), no. 2, 159-164.
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Y. Simsek, A. Bayad, and V. Lokesha, q-Bernstein polynomials related to q-Frobenius-Euler polynomials, l-functions, and q-Stirling numbers, Math. Methods Appl. Sci. 35 (2012), no. 8, 877-884.
DOI
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Y. Simsek, Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications, Fixed Point Theory Appl. 2013 (2013), 87, 28 pp.
DOI
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Y. Simsek, Identities associated with generalized Stirling type numbers and Eulerian type polynomials, Math. Comput. Appl. 18 (2013), no. 3, 251-263.
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Y. Simsek, On generating functions for the special polynomials, Filomat 31 (2017), no. 1, 9-16.
DOI
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Y. Simsek, D. Kim, T. Kim, and S.-H. Rim, A note on the sums of powers of consecutive q-integers, J. Appl. Funct. Differ. Equ. 1 (2006), no. 1, 81-88.
|
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Y. Simsek, T. Kim, D. W. Park, Y. S. Ro, L. C. Jang, and S. H. Rim, An explicit formula for the multiple Frobenius-Euler numbers and polynomials, JP J. Algebra Number Theory Appl. 4 (2004), no. 3, 519-529.
|
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Y. Simsek, O. Yurekli, and V. Kurt, On interpolation functions of the twisted generalized Frobenius-Euler numbers, Adv. Stud. Contemp. Math. (Kyungshang) 15 (2007), no. 2, 187-194.
|
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H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, 2001.
|
30 |
H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier, Inc., Amsterdam, 2012.
|
31 |
H. Tsumura, A note on q-analogues of the Dirichlet series and q-Bernoulli numbers, J. Number Theory 39 (1991), no. 3, 251-256.
DOI
|
32 |
H. M. Srivastava, M. Garg, and S. Choudhary, A new generalization of the Bernoulli and related polynomials, Russ. J. Math. Phys. 17 (2010), no. 2, 251-261.
DOI
|
33 |
H. M. Srivastava, T. Kim, and Y. Simsek, q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series, Russ. J. Math. Phys. 12 (2005), no. 2, 241-268.
|
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H. Tsumura, On a p-adic interpolation of the generalized Euler numbers and its applications, Tokyo J. Math. 10 (1987), no. 2, 281-293.
DOI
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