Bencherif, Farid; Boumahdi, Rachid; Garici, Tarek Symmetric identity for polynomial sequences satisfying \(A^\prime_{n+1}(x) = (n + 1)A_n(x)\). (English) Zbl 1480.05012 Commun. Math. 29, No. 3, 343-355 (2021). MSC: 05A19 05A40 11B68 PDF BibTeX XML Cite \textit{F. Bencherif} et al., Commun. Math. 29, No. 3, 343--355 (2021; Zbl 1480.05012) Full Text: DOI OpenURL
Simsek, Yilmaz Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. (English) Zbl 1476.11061 Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 435-486 (2021). MSC: 11B68 05A15 05A19 12D10 30C10 41A60 PDF BibTeX XML Cite \textit{Y. Simsek}, in: Approximation theory and analytic inequalities. Cham: Springer. 435--486 (2021; Zbl 1476.11061) Full Text: DOI OpenURL
Ortega, María José; Ramírez, William; Urieles, Alejandro New generalized Apostol-Frobenius-Euler polynomials and their matrix approach. (English) Zbl 1488.33038 Kragujevac J. Math. 45, No. 3, 393-407 (2021). MSC: 33C47 11B68 PDF BibTeX XML Cite \textit{M. J. Ortega} et al., Kragujevac J. Math. 45, No. 3, 393--407 (2021; Zbl 1488.33038) Full Text: Link OpenURL
Komatsu, Takao; Zhang, Yuan Weighted Sylvester sums on the Frobenius set. (English) Zbl 1466.05004 Ir. Math. Soc. Bull. 87, 35-43 (2021). MSC: 05A15 11D07 11B68 11P81 05A17 PDF BibTeX XML Cite \textit{T. Komatsu} and \textit{Y. Zhang}, Ir. Math. Soc. Bull. 87, 35--43 (2021; Zbl 1466.05004) Full Text: arXiv Link OpenURL
Kurt, Burak Unified Apostol-Korobov type polynomials and related polynomials. (English) Zbl 1476.11050 Bull. Korean Math. Soc. 58, No. 2, 315-326 (2021). MSC: 11B68 11B65 11B83 05A19 05A40 PDF BibTeX XML Cite \textit{B. Kurt}, Bull. Korean Math. Soc. 58, No. 2, 315--326 (2021; Zbl 1476.11050) Full Text: DOI OpenURL
Bedoya, D.; Ortega, M.; Ramirez, W.; Urielez, A. New biparametric families of Apostol-Frobenius-Euler polynomials of level \(m\). (English) Zbl 1471.11094 Mat. Stud. 55, No. 1, 10-23 (2021). MSC: 11B68 11B73 05A19 PDF BibTeX XML Cite \textit{D. Bedoya} et al., Mat. Stud. 55, No. 1, 10--23 (2021; Zbl 1471.11094) Full Text: DOI OpenURL
Kwon, Jongkyum; Jang, Lee-Chae A note on the type 2 poly-Apostol-Bernoulli polynomials. (English) Zbl 1499.11120 Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 253-262 (2020). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{J. Kwon} and \textit{L.-C. Jang}, Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 253--262 (2020; Zbl 1499.11120) Full Text: DOI OpenURL
Simsek, Yilmaz On Boole-type combinatorial numbers and polynomials. (English) Zbl 1499.05023 Filomat 34, No. 2, 559-565 (2020). MSC: 05A10 05A15 11B83 11B73 11B68 26C05 PDF BibTeX XML Cite \textit{Y. Simsek}, Filomat 34, No. 2, 559--565 (2020; Zbl 1499.05023) Full Text: DOI OpenURL
Kurt, Veli On the generalized \(q\)-poly-Euler polynomials of the second kind. (English) Zbl 1499.11119 Filomat 34, No. 2, 475-482 (2020). MSC: 11B68 11B73 11S80 PDF BibTeX XML Cite \textit{V. Kurt}, Filomat 34, No. 2, 475--482 (2020; Zbl 1499.11119) Full Text: DOI OpenURL
Corcino, Cristina B.; Corcino, Roberto B. Fourier expansions for higher-order Apostol-Genocchi, Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1485.42005 Adv. Difference Equ. 2020, Paper No. 346, 13 p. (2020). MSC: 42A16 11B68 PDF BibTeX XML Cite \textit{C. B. Corcino} and \textit{R. B. Corcino}, Adv. Difference Equ. 2020, Paper No. 346, 13 p. (2020; Zbl 1485.42005) Full Text: DOI OpenURL
Ernst, Thomas More expansion formulas for \(q,\omega\)-Apostol Bernoulli and Euler polynomials. (English) Zbl 1460.33022 Commun. Korean Math. Soc. 35, No. 2, 417-445 (2020). Reviewer: Uğur Duran (Iskenderun) MSC: 33D99 05A40 PDF BibTeX XML Cite \textit{T. Ernst}, Commun. Korean Math. Soc. 35, No. 2, 417--445 (2020; Zbl 1460.33022) Full Text: DOI OpenURL
Agoh, Takashi On generalized Euler numbers and polynomials related to values of the Lerch zeta function. (English) Zbl 1461.11040 Integers 20, Paper A5, 18 p. (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11M35 PDF BibTeX XML Cite \textit{T. Agoh}, Integers 20, Paper A5, 18 p. (2020; Zbl 1461.11040) Full Text: Link OpenURL
Kucukoglu, Irem; Simsek, Yilmaz Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. (English) Zbl 1499.11152 Appl. Anal. Discrete Math. 13, No. 3, 787-804 (2019). MSC: 11B83 11M41 68R15 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Appl. Anal. Discrete Math. 13, No. 3, 787--804 (2019; Zbl 1499.11152) Full Text: DOI arXiv OpenURL
Boutiche, Mohamed Amine; Kargin, Levent; Rahmani, Mourad Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1455.11038 Indian J. Pure Appl. Math. 50, No. 4, 1133-1145 (2019). MSC: 11B68 33C45 PDF BibTeX XML Cite \textit{M. A. Boutiche} et al., Indian J. Pure Appl. Math. 50, No. 4, 1133--1145 (2019; Zbl 1455.11038) Full Text: DOI OpenURL
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. (English) Zbl 1439.05011 Turk. J. Math. 43, No. 5, 2337-2353 (2019). Reviewer: Mircea Merca (Cornu) MSC: 05A10 05A15 11B37 11B65 11B68 11B83 26C05 60C05 PDF BibTeX XML Cite \textit{İ. Küçükoğlu} et al., Turk. J. Math. 43, No. 5, 2337--2353 (2019; Zbl 1439.05011) Full Text: Link OpenURL
Acikgoz, Mehmet; Araci, Serkan; Duran, Ugur Some \((p, q)\)-analogues of Apostol type numbers and polynomials. (English) Zbl 1479.11045 Acta Comment. Univ. Tartu. Math. 23, No. 1, 37-50 (2019). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 11B68 11B73 05A15 05A30 PDF BibTeX XML Cite \textit{M. Acikgoz} et al., Acta Comment. Univ. Tartu. Math. 23, No. 1, 37--50 (2019; Zbl 1479.11045) Full Text: DOI OpenURL
Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1463.11071 Arch. Math., Brno 55, No. 3, 157-165 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 05A15 PDF BibTeX XML Cite \textit{L. M. Navas} et al., Arch. Math., Brno 55, No. 3, 157--165 (2019; Zbl 1463.11071) Full Text: DOI OpenURL
Xu, Aimin Asymptotic expansion related to the generalized Somos recurrence constant. (English) Zbl 1471.11039 Int. J. Number Theory 15, No. 10, 2043-2055 (2019). MSC: 11B37 11B68 05A16 PDF BibTeX XML Cite \textit{A. Xu}, Int. J. Number Theory 15, No. 10, 2043--2055 (2019; Zbl 1471.11039) Full Text: DOI OpenURL
Srivastava, H. M.; Kızılateş, Can A parametric kind of the Fubini-type polynomials. (English) Zbl 1439.11068 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3253-3267 (2019). MSC: 11B68 11B83 11B73 05A15 05A19 26C05 30C15 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{C. Kızılateş}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3253--3267 (2019; Zbl 1439.11068) Full Text: DOI OpenURL
Srivastava, H. M.; Kurt, Burak; Kurt, Veli Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1429.11047 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1299-1313 (2019). MSC: 11B68 11B75 11B83 33E30 33F99 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1299--1313 (2019; Zbl 1429.11047) Full Text: DOI OpenURL
Srivastava, H. M.; Masjed-Jamei, M.; Beyki, M. R. Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1418.11038 Rocky Mt. J. Math. 49, No. 2, 681-697 (2019). MSC: 11B68 11B73 11B83 26C05 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rocky Mt. J. Math. 49, No. 2, 681--697 (2019; Zbl 1418.11038) Full Text: DOI Euclid OpenURL
Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. A note on Appell sequences, Mellin transforms and Fourier series. (English) Zbl 1484.11088 J. Math. Anal. Appl. 476, No. 2, 836-850 (2019). Reviewer: Hacène Belbachir (El Alia) MSC: 11B83 11B68 42A16 44A15 PDF BibTeX XML Cite \textit{L. M. Navas} et al., J. Math. Anal. Appl. 476, No. 2, 836--850 (2019; Zbl 1484.11088) Full Text: DOI Link OpenURL
Erdoğan, Altan A note on polynomial expressions for sums of power of integers multiplied by exponential terms. (English) Zbl 1411.11020 Turk. J. Math. 43, No. 1, 199-206 (2019). MSC: 11B65 11B68 PDF BibTeX XML Cite \textit{A. Erdoğan}, Turk. J. Math. 43, No. 1, 199--206 (2019; Zbl 1411.11020) Full Text: DOI OpenURL
Kucukoglu, Irem; Simsek, Yilmaz Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. (English) Zbl 1410.05012 J. Korean Math. Soc. 56, No. 1, 265-284 (2019). Reviewer: Stephan Wagner (Stellenbosch) MSC: 05A30 05A10 05A15 11B37 11B68 11B83 26C05 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, J. Korean Math. Soc. 56, No. 1, 265--284 (2019; Zbl 1410.05012) Full Text: Link OpenURL
Kucukoglu, Irem; Simsek, Yilmaz Computation of \(k\)-ary Lyndon words using generating functions and their differential equations. (English) Zbl 07473992 Filomat 32, No. 10, 3455-3463 (2018). MSC: 68R15 05A05 05A15 11A25 11B83 33C90 34A99 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Filomat 32, No. 10, 3455--3463 (2018; Zbl 07473992) Full Text: DOI OpenURL
Simsek, Yilmaz; Kim, Daeyeoul Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. (English) Zbl 1494.11020 J. Inequal. Appl. 2018, Paper No. 220, 9 p. (2018). MSC: 11B68 05A15 PDF BibTeX XML Cite \textit{Y. Simsek} and \textit{D. Kim}, J. Inequal. Appl. 2018, Paper No. 220, 9 p. (2018; Zbl 1494.11020) Full Text: DOI OpenURL
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan Unified \((p,q)\)-analog of Apostol type polynomials of order \(\alpha\). (English) Zbl 1488.11056 Filomat 32, No. 2, 387-394 (2018). MSC: 11B68 05A30 11B73 PDF BibTeX XML Cite \textit{U. Duran} et al., Filomat 32, No. 2, 387--394 (2018; Zbl 1488.11056) Full Text: DOI OpenURL
Simsek, Yilmaz Special numbers and polynomials including their generating functions in umbral analysis methods. (English) Zbl 1432.05018 Axioms 7, No. 2, Paper No. 22, 12 p. (2018). MSC: 05A40 11B73 11B83 30B10 11S80 PDF BibTeX XML Cite \textit{Y. Simsek}, Axioms 7, No. 2, Paper No. 22, 12 p. (2018; Zbl 1432.05018) Full Text: DOI OpenURL
He, Yuan; Araci, Serkan; Srivastava, Hari M.; Abdel-Aty, Mahmoud Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1425.11036 Mathematics 6, No. 12, Paper No. 329, 14 p. (2018). MSC: 11B68 PDF BibTeX XML Cite \textit{Y. He} et al., Mathematics 6, No. 12, Paper No. 329, 14 p. (2018; Zbl 1425.11036) Full Text: DOI OpenURL
Şimşek, Yılmaz Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. (English) Zbl 1438.11056 Turk. J. Math. 42, No. 2, 557-577 (2018). MSC: 11B68 11B73 11S80 PDF BibTeX XML Cite \textit{Y. Şimşek}, Turk. J. Math. 42, No. 2, 557--577 (2018; Zbl 1438.11056) Full Text: DOI OpenURL
Simsek, Yilmaz Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. (English) Zbl 06986336 Math. Methods Appl. Sci. 41, No. 16, 6934-6954 (2018). MSC: 47B39 42B05 05A15 05A10 11B68 05A19 12D10 26C05 47B33 47B39 54C30 65Qxx PDF BibTeX XML Cite \textit{Y. Simsek}, Math. Methods Appl. Sci. 41, No. 16, 6934--6954 (2018; Zbl 06986336) Full Text: DOI OpenURL
Kucukoglu, Irem; Simsek, Yilmaz Observations on identities and relations for interpolation functions and special numbers. (English) Zbl 1413.05010 Adv. Stud. Contemp. Math., Kyungshang 28, No. 1, 41-56 (2018). MSC: 05A10 05A15 11B68 11B83 11M35 11S23 26C99 33B15 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 28, No. 1, 41--56 (2018; Zbl 1413.05010) OpenURL
Hu, Su; Kim, Min-Soo Two closed forms for the Apostol-Bernoulli polynomials. (English) Zbl 1441.11035 Ramanujan J. 46, No. 1, 103-117 (2018). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11B68 05A19 11B73 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M.-S. Kim}, Ramanujan J. 46, No. 1, 103--117 (2018; Zbl 1441.11035) Full Text: DOI arXiv OpenURL
Khan, Waseem A.; Khan, Nabiullah; Zia, Sarvat Symmetry identities for generalized Hermite-based Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1499.33040 J. Fract. Calc. Appl. 8, No. 1, 173-185 (2017). MSC: 33C45 05A10 11B68 PDF BibTeX XML Cite \textit{W. A. Khan} et al., J. Fract. Calc. Appl. 8, No. 1, 173--185 (2017; Zbl 1499.33040) Full Text: Link OpenURL
Simsek, Yilmaz On generating functions for the special polynomials. (English) Zbl 1488.11059 Filomat 31, No. 1, 9-16 (2017). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{Y. Simsek}, Filomat 31, No. 1, 9--16 (2017; Zbl 1488.11059) Full Text: DOI OpenURL
Qi, Feng; Guo, Bai-Ni Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. (English) Zbl 1460.11028 J. Indones. Math. Soc. 23, No. 1, 81-87 (2017). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B68 11C20 15A15 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, J. Indones. Math. Soc. 23, No. 1, 81--87 (2017; Zbl 1460.11028) Full Text: DOI OpenURL
Kim, Daeyeoul; Ozden Ayna, Hacer; Simsek, Yilmaz; Yardimci, Ahmet New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals. (English) Zbl 1422.11044 Adv. Difference Equ. 2017, Paper No. 207, 11 p. (2017). MSC: 11B68 11S80 11B83 11B73 05A19 PDF BibTeX XML Cite \textit{D. Kim} et al., Adv. Difference Equ. 2017, Paper No. 207, 11 p. (2017; Zbl 1422.11044) Full Text: DOI OpenURL
Khan, N. U.; Usman, T.; Aman, M. Certain generating function of generalized Apostol type Legendre-based polynomials. (Certain generating funtion of generalized Apostol type Legendre-based polynomials.) (English) Zbl 1385.05010 Note Mat. 37, No. 2, 21-44 (2017). MSC: 05A10 11B68 33C45 33C99 PDF BibTeX XML Cite \textit{N. U. Khan} et al., Note Mat. 37, No. 2, 21--44 (2017; Zbl 1385.05010) Full Text: DOI OpenURL
Kilar, Neslihan; Simsek, Yilmaz A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. (English) Zbl 1426.11014 J. Korean Math. Soc. 54, No. 5, 1605-1621 (2017). MSC: 11B68 11B73 05A15 05A19 11B65 PDF BibTeX XML Cite \textit{N. Kilar} and \textit{Y. Simsek}, J. Korean Math. Soc. 54, No. 5, 1605--1621 (2017; Zbl 1426.11014) Full Text: DOI OpenURL
Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. (English) Zbl 1404.05010 Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017). MSC: 05A15 11A25 11B68 11B83 11M35 68R15 PDF BibTeX XML Cite \textit{I. Kucukoglu} et al., Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017; Zbl 1404.05010) Full Text: DOI OpenURL
He, Yuan Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1373.11019 Ramanujan J. 43, No. 2, 447-464 (2017). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He}, Ramanujan J. 43, No. 2, 447--464 (2017; Zbl 1373.11019) Full Text: DOI OpenURL
Ozdemir, Gulsah; Simsek, Yilmaz; Milovanović, Gradimir V. Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. (English) Zbl 1373.05012 Mediterr. J. Math. 14, No. 3, Paper No. 117, 17 p. (2017). MSC: 05A15 11B39 11B68 11B73 11B83 PDF BibTeX XML Cite \textit{G. Ozdemir} et al., Mediterr. J. Math. 14, No. 3, Paper No. 117, 17 p. (2017; Zbl 1373.05012) Full Text: DOI OpenURL
Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. (English) Zbl 1369.05009 J. Number Theory 181, 117-146 (2017). MSC: 05A10 05A15 11B37 11B39 11B68 11B83 11M35 26C05 26C10 33C05 34A99 35A99 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., J. Number Theory 181, 117--146 (2017; Zbl 1369.05009) Full Text: DOI OpenURL
Jang, Gwan-Woo; Kwon, Hyuck-In; Kim, Taekyun A note on degenerate Apostol-Bernoulli numbers and polynomials. (English) Zbl 1371.11049 Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 279-288 (2017). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{G.-W. Jang} et al., Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 279--288 (2017; Zbl 1371.11049) OpenURL
Simsek, Yilmaz Identities on the Changhee numbers and Apostol-type Daehee polynomials. (English) Zbl 1371.11060 Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 199-212 (2017). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 199--212 (2017; Zbl 1371.11060) OpenURL
Choi, Junesang Note on Apostol-Daehee polynomials and numbers. (English) Zbl 1380.11014 Far East J. Math. Sci. (FJMS) 101, No. 8, 1845-1857 (2017). MSC: 11B68 11B73 PDF BibTeX XML Cite \textit{J. Choi}, Far East J. Math. Sci. (FJMS) 101, No. 8, 1845--1857 (2017; Zbl 1380.11014) Full Text: DOI Link OpenURL
Kargın, Levent Some formulae for products of geometric polynomials with applications. (English) Zbl 1394.11022 J. Integer Seq. 20, No. 4, Article 17.4.4, 15 p. (2017). MSC: 11B83 11B68 11B75 PDF BibTeX XML Cite \textit{L. Kargın}, J. Integer Seq. 20, No. 4, Article 17.4.4, 15 p. (2017; Zbl 1394.11022) Full Text: arXiv EMIS OpenURL
Simsek, Yilmaz Analysis of the \(p\)-adic \(q\)-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. (English) Zbl 1426.11015 Cogent Math. 3, Article ID 1269393, 17 p. (2016). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{Y. Simsek}, Cogent Math. 3, Article ID 1269393, 17 p. (2016; Zbl 1426.11015) Full Text: DOI arXiv OpenURL
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet A new class of Laguerre-based Apostol type polynomials. (English) Zbl 1438.11049 Cogent Math. 3, Article ID 1243839, 17 p. (2016). MSC: 11B68 33E20 33C05 PDF BibTeX XML Cite \textit{W. A. Khan} et al., Cogent Math. 3, Article ID 1243839, 17 p. (2016; Zbl 1438.11049) Full Text: DOI OpenURL
Simsek, Yilmaz; Yardimci, Ahmet Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals. (English) Zbl 1419.11044 Adv. Difference Equ. 2016, Paper No. 308, 14 p. (2016). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{Y. Simsek} and \textit{A. Yardimci}, Adv. Difference Equ. 2016, Paper No. 308, 14 p. (2016; Zbl 1419.11044) Full Text: DOI OpenURL
He, Yuan; Araci, Serkan; Srivastava, H. M. Some new formulas for the products of the Apostol type polynomials. (English) Zbl 1419.11040 Adv. Difference Equ. 2016, Paper No. 287, 18 p. (2016). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He} et al., Adv. Difference Equ. 2016, Paper No. 287, 18 p. (2016; Zbl 1419.11040) Full Text: DOI OpenURL
Kurt, Burak Notes on unified \(q\)-Apostol-type polynomials. (English) Zbl 1462.11019 Filomat 30, No. 4, 921-927 (2016). MSC: 11B68 05A30 05A15 PDF BibTeX XML Cite \textit{B. Kurt}, Filomat 30, No. 4, 921--927 (2016; Zbl 1462.11019) Full Text: DOI OpenURL
Kurt, Veli Some symmetry identities for the unified Apostol-type polynomials and \(\lambda\)-multiple power sums. (English) Zbl 1462.05036 Filomat 30, No. 3, 583-592 (2016). MSC: 05A19 05A10 05A15 11B68 11B73 PDF BibTeX XML Cite \textit{V. Kurt}, Filomat 30, No. 3, 583--592 (2016; Zbl 1462.05036) Full Text: DOI OpenURL
Kurt, Burak A note on the Apostol type \(q\)-Frobenius-Euler polynomials and generalizations of the Srivastava-Pinter addition theorems. (English) Zbl 1432.11022 Filomat 30, No. 1, 65-72 (2016). MSC: 11B68 05A30 PDF BibTeX XML Cite \textit{B. Kurt}, Filomat 30, No. 1, 65--72 (2016; Zbl 1432.11022) Full Text: DOI OpenURL
Herscovici, Orli; Mansour, Toufik The Miki-type identity for the Apostol-Bernoulli numbers. (English) Zbl 1374.05036 Ann. Math. Inform. 46, 97-114 (2016). MSC: 05A19 11B68 PDF BibTeX XML Cite \textit{O. Herscovici} and \textit{T. Mansour}, Ann. Math. Inform. 46, 97--114 (2016; Zbl 1374.05036) OpenURL
He, Yuan A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1371.11046 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1307-1318 (2016). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1307--1318 (2016; Zbl 1371.11046) Full Text: DOI OpenURL
Khan, N. U.; Usman, T. A new class of Laguerre-based generalized Apostol polynomials. (English) Zbl 1403.11012 Fasc. Math. 57, 67-89 (2016). MSC: 11B68 33C45 33E20 PDF BibTeX XML Cite \textit{N. U. Khan} and \textit{T. Usman}, Fasc. Math. 57, 67--89 (2016; Zbl 1403.11012) Full Text: DOI OpenURL
Simsek, Yilmaz Apostol type Daehee numbers and polynomials. (English) Zbl 1404.11021 Adv. Stud. Contemp. Math., Kyungshang 26, No. 3, 555-566 (2016). MSC: 11B65 11B68 11B73 11S80 26C05 PDF BibTeX XML Cite \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 26, No. 3, 555--566 (2016; Zbl 1404.11021) OpenURL
He, Yuan; Kim, Taekyun General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1400.11064 J. Nonlinear Sci. Appl. 9, No. 6, 4780-4797 (2016). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He} and \textit{T. Kim}, J. Nonlinear Sci. Appl. 9, No. 6, 4780--4797 (2016; Zbl 1400.11064) Full Text: DOI Link OpenURL
Bagdasaryan, Armen; Araci, Serkan; Acikgoz, Mehmet; He, Yuan Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. (English) Zbl 1338.11025 J. Nonlinear Sci. Appl. 9, No. 5, 2697-2704 (2016). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{A. Bagdasaryan} et al., J. Nonlinear Sci. Appl. 9, No. 5, 2697--2704 (2016; Zbl 1338.11025) Full Text: DOI arXiv Link OpenURL
Shao, Wen-Kai; He, Yuan Some formulas for the generalized Apostol-type polynomials and numbers. (English) Zbl 1362.11031 J. Nonlinear Sci. Appl. 9, No. 5, 2511-2519 (2016). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{W.-K. Shao} and \textit{Y. He}, J. Nonlinear Sci. Appl. 9, No. 5, 2511--2519 (2016; Zbl 1362.11031) Full Text: DOI Link OpenURL
Bayad, Abdelmejid; Navas, Luis Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials. (English) Zbl 1404.11022 J. Number Theory 163, 457-473 (2016). MSC: 11B68 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{L. Navas}, J. Number Theory 163, 457--473 (2016; Zbl 1404.11022) Full Text: DOI OpenURL
Singh, Jitender Defining sums of products of power sums. (English) Zbl 1364.11013 J. Integer Seq. 19, No. 1, Article 16.1.2, 16 p. (2016). MSC: 11A25 11B68 05A10 PDF BibTeX XML Cite \textit{J. Singh}, J. Integer Seq. 19, No. 1, Article 16.1.2, 16 p. (2016; Zbl 1364.11013) Full Text: EMIS OpenURL
Fikioris, G.; Andrianesis, P. Asymptotic expansions pertaining to the logarithmic series and related trigonometric sums. (English) Zbl 1412.33037 J. Class. Anal. 7, No. 2, 113-127 (2015). MSC: 33E20 11L03 41A60 11M35 PDF BibTeX XML Cite \textit{G. Fikioris} and \textit{P. Andrianesis}, J. Class. Anal. 7, No. 2, 113--127 (2015; Zbl 1412.33037) Full Text: DOI OpenURL
Lu, Da-Qian; Luo, Qiu-Ming Some unified formulas and representations for the Apostol-type polynomials. (English) Zbl 1422.11050 Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015). MSC: 11B68 11M35 11B73 33C05 PDF BibTeX XML Cite \textit{D.-Q. Lu} and \textit{Q.-M. Luo}, Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015; Zbl 1422.11050) Full Text: DOI OpenURL
Bayad, Abdelmejid; Navas, Luis Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1410.33025 Appl. Math. Comput. 265, 883-892 (2015). MSC: 33C45 11B68 33C47 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{L. Navas}, Appl. Math. Comput. 265, 883--892 (2015; Zbl 1410.33025) Full Text: DOI OpenURL
He, Yuan; Araci, Serkan; Srivastava, H. M.; Acikgoz, Mehmet Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. (English) Zbl 1410.11016 Appl. Math. Comput. 262, 31-41 (2015). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He} et al., Appl. Math. Comput. 262, 31--41 (2015; Zbl 1410.11016) Full Text: DOI OpenURL
Luo, Qiu-Ming Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1397.11053 Appl. Math. Comput. 261, 156-166 (2015). MSC: 11B68 11F20 11F27 PDF BibTeX XML Cite \textit{Q.-M. Luo}, Appl. Math. Comput. 261, 156--166 (2015; Zbl 1397.11053) Full Text: DOI OpenURL
Hernández-Llanos, Pedro; Quintana, Yamilet; Urieles, Alejandro About extensions of generalized Apostol-type polynomials. (English) Zbl 1335.11014 Result. Math. 68, No. 1-2, 203-225 (2015). MSC: 11B68 11B65 11B73 05A10 33B99 PDF BibTeX XML Cite \textit{P. Hernández-Llanos} et al., Result. Math. 68, No. 1--2, 203--225 (2015; Zbl 1335.11014) Full Text: DOI OpenURL
He, Yuan Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1379.11020 J. Math. Anal. Appl. 431, No. 1, 34-46 (2015). MSC: 11B68 PDF BibTeX XML Cite \textit{Y. He}, J. Math. Anal. Appl. 431, No. 1, 34--46 (2015; Zbl 1379.11020) Full Text: DOI OpenURL
Luo, Qiu-Ming \(q\)-extensions of some results involving the Luo-Srivastava generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1464.05018 Filomat 28, No. 2, 329-351 (2014). MSC: 05A30 05A15 11B68 11B73 PDF BibTeX XML Cite \textit{Q.-M. Luo}, Filomat 28, No. 2, 329--351 (2014; Zbl 1464.05018) Full Text: DOI OpenURL
He, Yuan; Araci, Serkan Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1343.11030 Adv. Difference Equ. 2014, Paper No. 155, 13 p. (2014). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{Y. He} and \textit{S. Araci}, Adv. Difference Equ. 2014, Paper No. 155, 13 p. (2014; Zbl 1343.11030) Full Text: DOI OpenURL
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. Some array type polynomials associated with special numbers and polynomials. (English) Zbl 1335.33003 Appl. Math. Comput. 244, 149-157 (2014). MSC: 33C45 PDF BibTeX XML Cite \textit{A. Bayad} et al., Appl. Math. Comput. 244, 149--157 (2014; Zbl 1335.33003) Full Text: DOI OpenURL
Pathan, M. A.; Khan, Waseem A. Some implicit summation formulas and symmetric identities for the generalized Hermite-based polynomials. (English) Zbl 1340.11023 Acta Univ. Apulensis, Math. Inform. 39, 113-136 (2014). MSC: 11B68 33E20 33C05 PDF BibTeX XML Cite \textit{M. A. Pathan} and \textit{W. A. Khan}, Acta Univ. Apulensis, Math. Inform. 39, 113--136 (2014; Zbl 1340.11023) OpenURL
Ernst, Thomas On certain generalized \(q\)-Appell polynomial expansions. (English) Zbl 1308.05021 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 27-50 (2014). MSC: 05A30 11B68 05A10 PDF BibTeX XML Cite \textit{T. Ernst}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 27--50 (2014; Zbl 1308.05021) Full Text: DOI OpenURL
Luo, Qiu-Ming \(q\)-Apostol-Bernoulli polynomials and \(q\)-power sums. (English) Zbl 1310.05025 Util. Math. 95, 85-95 (2014). MSC: 05A30 11B68 11M35 PDF BibTeX XML Cite \textit{Q.-M. Luo}, Util. Math. 95, 85--95 (2014; Zbl 1310.05025) OpenURL
Özarslan, M. Ali; Gaboury, S. Srivastava-Pintér theorems for 2D-Appell polynomials and their applications. (English) Zbl 1365.11019 Math. Methods Appl. Sci. 37, No. 15, 2198-2210 (2014). MSC: 11B68 11B83 11M35 33C45 PDF BibTeX XML Cite \textit{M. A. Özarslan} and \textit{S. Gaboury}, Math. Methods Appl. Sci. 37, No. 15, 2198--2210 (2014; Zbl 1365.11019) Full Text: DOI OpenURL
Xu, Ai-Min; Cen, Zhong-Di Some identities involving exponential functions and Stirling numbers and applications. (English) Zbl 1293.05011 J. Comput. Appl. Math. 260, 201-207 (2014). MSC: 05A19 11B68 11B73 26A24 33B10 PDF BibTeX XML Cite \textit{A.-M. Xu} and \textit{Z.-D. Cen}, J. Comput. Appl. Math. 260, 201--207 (2014; Zbl 1293.05011) Full Text: DOI OpenURL
Gaboury, Sebastien; Tremblay, R.; Fugère, B.-J. Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1353.11031 Proc. Jangjeon Math. Soc. 17, No. 1, 115-123 (2014). MSC: 11B68 33C45 11B65 PDF BibTeX XML Cite \textit{S. Gaboury} et al., Proc. Jangjeon Math. Soc. 17, No. 1, 115--123 (2014; Zbl 1353.11031) OpenURL
Simsek, Yilmaz Identities associated with generalized Stirling type numbers and Eulerian type polynomials. (English) Zbl 1390.33024 Math. Comput. Appl. 18, No. 3, 251-263 (2013). MSC: 33C45 PDF BibTeX XML Cite \textit{Y. Simsek}, Math. Comput. Appl. 18, No. 3, 251--263 (2013; Zbl 1390.33024) Full Text: DOI OpenURL
Özarslan, Mehmet Ali Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1380.11020 Adv. Difference Equ. 2013, Paper No. 116, 13 p. (2013). MSC: 11B68 33C05 PDF BibTeX XML Cite \textit{M. A. Özarslan}, Adv. Difference Equ. 2013, Paper No. 116, 13 p. (2013; Zbl 1380.11020) Full Text: DOI OpenURL
Chen, Si; Cai, Yi; Luo, Qiu-Ming An extension of generalized Apostol-Euler polynomials. (English) Zbl 1380.11013 Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013). MSC: 11B68 11B73 33C45 PDF BibTeX XML Cite \textit{S. Chen} et al., Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013; Zbl 1380.11013) Full Text: DOI OpenURL
Wang, Jingzhe New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1375.11013 Adv. Difference Equ. 2013, Paper No. 247, 14 p. (2013). MSC: 11B37 11B68 PDF BibTeX XML Cite \textit{J. Wang}, Adv. Difference Equ. 2013, Paper No. 247, 14 p. (2013; Zbl 1375.11013) Full Text: DOI OpenURL
Kurt, Veli Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums. (English) Zbl 1371.11056 Adv. Difference Equ. 2013, Paper No. 32, 8 p. (2013). MSC: 11B68 PDF BibTeX XML Cite \textit{V. Kurt}, Adv. Difference Equ. 2013, Paper No. 32, 8 p. (2013; Zbl 1371.11056) Full Text: DOI OpenURL
Gaboury, Sebastien Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials. (English) Zbl 1347.26021 Adv. Difference Equ. 2013, Paper No. 361, 13 p. (2013). MSC: 26A33 11M35 33C05 11B68 PDF BibTeX XML Cite \textit{S. Gaboury}, Adv. Difference Equ. 2013, Paper No. 361, 13 p. (2013; Zbl 1347.26021) Full Text: DOI OpenURL
Kim, Min-Soo; Hu, Su A note on the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1324.11022 Publ. Math. Debr. 83, No. 3, 449-464 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 PDF BibTeX XML Cite \textit{M.-S. Kim} and \textit{S. Hu}, Publ. Math. Debr. 83, No. 3, 449--464 (2013; Zbl 1324.11022) Full Text: DOI OpenURL
Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M. A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. (English) Zbl 1295.11023 J. Number Theory 133, No. 10, 3245-3263 (2013). MSC: 11B68 11B73 05A40 PDF BibTeX XML Cite \textit{R. Dere} et al., J. Number Theory 133, No. 10, 3245--3263 (2013; Zbl 1295.11023) Full Text: DOI arXiv OpenURL
Simsek, Yilmaz Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. (English) Zbl 1293.11044 Fixed Point Theory Appl. 2013, Paper No. 87, 28 p. (2013). MSC: 11B73 11B68 11S80 PDF BibTeX XML Cite \textit{Y. Simsek}, Fixed Point Theory Appl. 2013, Paper No. 87, 28 p. (2013; Zbl 1293.11044) Full Text: DOI arXiv OpenURL
Aygunes, Aykut Ahmed; Bayad, Abdelmejid; Simsek, Yilmaz Hecke operators type and generalized Apostol-Bernoulli polynomials. (English) Zbl 1293.11065 Fixed Point Theory Appl. 2013, Paper No. 92, 11 p. (2013). MSC: 11F25 11M35 11B68 PDF BibTeX XML Cite \textit{A. A. Aygunes} et al., Fixed Point Theory Appl. 2013, Paper No. 92, 11 p. (2013; Zbl 1293.11065) Full Text: DOI OpenURL
Kurt, Veli On the alternating sums and application to Apostol-Bernoulli polynomials. (English) Zbl 1297.11012 Proc. Jangjeon Math. Soc. 16, No. 2, 251-258 (2013). MSC: 11B68 11M35 PDF BibTeX XML Cite \textit{V. Kurt}, Proc. Jangjeon Math. Soc. 16, No. 2, 251--258 (2013; Zbl 1297.11012) OpenURL
Kurt, Burak On the multiple sums of Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1285.11036 Int. J. Math. Anal., Ruse 7, No. 5-8, 373-377 (2013). MSC: 11B68 11M35 PDF BibTeX XML Cite \textit{B. Kurt}, Int. J. Math. Anal., Ruse 7, No. 5--8, 373--377 (2013; Zbl 1285.11036) Full Text: DOI Link Link OpenURL
Aygunes, Aykut Ahmet Higher-order Euler-type polynomials and their applications. (English) Zbl 1298.11021 Fixed Point Theory Appl. 2013, Paper No. 40, 11 p. (2013). MSC: 11B68 11F25 PDF BibTeX XML Cite \textit{A. A. Aygunes}, Fixed Point Theory Appl. 2013, Paper No. 40, 11 p. (2013; Zbl 1298.11021) Full Text: DOI OpenURL
Bayad, A.; Chikhi, J. Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers. (English) Zbl 1276.11029 Math. Comput. 82, No. 284, 2327-2332 (2013). MSC: 11B68 11A25 11B73 42A16 41A58 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{J. Chikhi}, Math. Comput. 82, No. 284, 2327--2332 (2013; Zbl 1276.11029) Full Text: DOI OpenURL
Kurt, Burak; Kurt, Veli Hermite-Bernoulli 2D polynomials. (English) Zbl 1275.11043 Camci, Uğur (ed.) et al., Mathematical physics. Proceedings of the 13th regional conference, Antalya, Turkey, October 27–31, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4417-52-5/hbk; 978-981-4417-53-2/ebook). 61-70 (2013). MSC: 11B68 33C45 PDF BibTeX XML Cite \textit{B. Kurt} and \textit{V. Kurt}, in: Mathematical physics. Proceedings of the 13th regional conference, Antalya, Turkey, October 27--31, 2010. Hackensack, NJ: World Scientific. 61--70 (2013; Zbl 1275.11043) Full Text: DOI OpenURL
He, Yuan; Wang, Chunping Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1377.11024 Adv. Difference Equ. 2012, Paper No. 209, 16 p. (2012). MSC: 11B68 05A19 11B37 PDF BibTeX XML Cite \textit{Y. He} and \textit{C. Wang}, Adv. Difference Equ. 2012, Paper No. 209, 16 p. (2012; Zbl 1377.11024) Full Text: DOI OpenURL
Fugère, B.-J.; Gaboury, S.; Tremblay, R. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums. (English) Zbl 1314.11008 Bull. Math. Anal. Appl. 4, No. 4, 76-90 (2012). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{B. J. Fugère} et al., Bull. Math. Anal. Appl. 4, No. 4, 76--90 (2012; Zbl 1314.11008) Full Text: Link OpenURL
Luo, Qiu-Ming Multiplication formulas for Apostol-type polynomials and multiple alternating sums. (English. Russian original) Zbl 1285.11039 Math. Notes 91, No. 1, 46-57 (2012); translation from Mat. Zametki 91, No. 1, 54-66 (2012). MSC: 11B68 11B65 05A10 PDF BibTeX XML Cite \textit{Q.-M. Luo}, Math. Notes 91, No. 1, 46--57 (2012; Zbl 1285.11039); translation from Mat. Zametki 91, No. 1, 54--66 (2012) Full Text: DOI OpenURL
Tremblay, R.; Gaboury, S.; Fugère, J. A further generalization of Apostol-Bernoulli polynomials and related polynomials. (English) Zbl 1327.11020 Honam Math. J. 34, No. 3, 311-326 (2012). MSC: 11B68 33C45 PDF BibTeX XML Cite \textit{R. Tremblay} et al., Honam Math. J. 34, No. 3, 311--326 (2012; Zbl 1327.11020) Full Text: DOI Link OpenURL
Yakan, Ilyas; Can, Mümün Asymptotic behaviour of generalized Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1273.11043 J. Pure Appl. Math., Adv. Appl. 7, No. 2, 91-103 (2012). MSC: 11B68 41A60 42A16 PDF BibTeX XML Cite \textit{I. Yakan} and \textit{M. Can}, J. Pure Appl. Math., Adv. Appl. 7, No. 2, 91--103 (2012; Zbl 1273.11043) OpenURL
Gaboury, S.; Kurt, B. Some relations involving Hermite-based Apostol-Genocchi polynomials. (English) Zbl 1273.05005 Appl. Math. Sci., Ruse 6, No. 81-84, 4091-4102 (2012). MSC: 05A10 11B65 28B99 11B68 PDF BibTeX XML Cite \textit{S. Gaboury} and \textit{B. Kurt}, Appl. Math. Sci., Ruse 6, No. 81--84, 4091--4102 (2012; Zbl 1273.05005) Full Text: Link OpenURL