Leventeli, Yasemin; Simsek, Yilmaz; Yilmazer, Ilyas Curve fitting for seismic waves of earthquake with Hermite polynomials. (English) Zbl 07894579 Publ. Inst. Math., Nouv. Sér. 115(129), 101-116 (2024). MSC: 33C45 05A15 86A15 86A17 86A60 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 07862421 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 92, 52 p. (2024). MSC: 11S80 11B68 05A15 05A19 11M35 30C15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ceylan, Ayse Yilmaz; Simsek, Yilmaz Generating functions for polynomials derived from central moments involving Bernstein basis functions and their applications. (English) Zbl 1535.11166 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 57, 17 p. (2024). MSC: 11S80 11B68 05A15 05A19 33C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Simsek, Yilmaz Generating functions for series involving higher powers of inverse binomial coefficients and their applications. (English) Zbl 1528.33003 Math. Methods Appl. Sci. 46, No. 12, 12591-12617 (2023). MSC: 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Selin Selen Ozbek; Simsek, Yilmaz Formulas and relations for Bernoulli-type numbers and polynomials derive from Bessel function. (English) Zbl 07771629 Commun. Korean Math. Soc. 38, No. 4, 1175-1189 (2023). MSC: 33C10 33B10 33B15 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y. On the generating functions and special functions associated with superoscillations. (English) Zbl 1531.81086 Discrete Appl. Math. 340, 215-227 (2023). MSC: 81Q15 33C15 35B34 08A40 81P15 28B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kilar, Neslihan; Simsek, Yilmaz; Srivastava, H. M. Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions. (English) Zbl 1534.11029 Ramanujan J. 61, No. 3, 731-756 (2023). MSC: 11B68 05A15 26C05 33B10 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Gun, Damla; Simsek, Yilmaz Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order. (English) Zbl 1538.11063 Appl. Anal. Discrete Math. 17, No. 1, 197-215 (2023). MSC: 11B68 41A15 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials. (English) Zbl 1514.05016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 130, 26 p. (2023). MSC: 05A15 33C47 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gün, Damla; Şimşek, Yilmaz Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and (\(p\)-adic) integral equations. (English) Zbl 1520.11097 Turk. J. Math. 47, No. 2, 830-845 (2023). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S80 11B68 05A15 05A19 26C05 12D10 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Kim, Daeyeoul; Simsek, Yilmaz Formulae bringing to light from certain classes of numbers and polynomials. (English) Zbl 1503.11048 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 27, 21 p. (2023). MSC: 11B68 05A15 11B73 26C05 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions. arXiv:2311.10124 Preprint, arXiv:2311.10124 [math.CA] (2023). MSC: 11S80 11B68 05A15 05A19 11M35 30C15 26C05 12D10 33C45 14F10 12D10 26C10 30B40 22-XX 44A10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Simsek, Yilmaz Derivation of computational formulas for certain class of finite sums: approach to generating functions arising from \(p\)-adic integrals and special functions. (English) Zbl 1538.05010 Math. Methods Appl. Sci. 45, No. 16, 9520-9544 (2022). MSC: 05A15 11B68 11B73 11S40 11S80 33B15 33F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kucukoglu, I.; Simsek, Y. Formulas and combinatorial identities for Catalan-type numbers and polynomials: their analysis with computational algorithms. (English) Zbl 1514.05020 Appl. Comput. Math. 21, No. 2, 158-177 (2022). Reviewer: Matthew C. Lettington (Cardiff) MSC: 05A19 05A10 05A15 11B37 11B68 11B83 11S80 11Y99 68W01 × Cite Format Result Cite Review PDF Full Text: Link
Kucukoglu, Irem; Milovanović, Gradimir V.; Simsek, Yilmaz Analysis of generating functions for special words and numbers and algorithms for computation. (English) Zbl 07648632 Mediterr. J. Math. 19, No. 6, Paper No. 268, 22 p. (2022). MSC: 03D40 05A05 05A15 11-XX 65Q20 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions. (English) Zbl 1496.11036 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 783-860 (2022). MSC: 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Yalcin, Fusun; Simsek, Yilmaz Formulas for characteristic function and moment generating functions of beta type distribution. (English) Zbl 1493.62258 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 86, 14 p. (2022). MSC: 62G30 05A15 11B73 11B83 11S80 26C05 42A61 60E05 60E10 62E15 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz; Kucukoglu, Irem Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions. (English) Zbl 1508.11037 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 795-857 (2021). MSC: 11B83 11S80 60C05 × Cite Format Result Cite Review PDF Full Text: DOI
Küçükoğlu, İrem; Şimşek, Yilmaz Computational identities for extensions of some families of special numbers and polynomials. (English) Zbl 1493.11059 Turk. J. Math. 45, No. 5, 2341-2365 (2021). MSC: 11B83 05A10 05A15 11S80 26C05 33E20 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Construction of generalized Leibnitz type numbers and their properties. (English) Zbl 1499.05049 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 311-323 (2021). MSC: 05A15 11B65 11B68 11B83 11S80 26C05 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kilar, Neslihan; Simsek, Yilmaz Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and \(p\)-adic integrals. (English) Zbl 1499.05039 Adv. Stud. Contemp. Math., Kyungshang 31, No. 1, 75-87 (2021). MSC: 05A15 11B68 11B73 11S80 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials. (English) Zbl 1499.05015 Appl. Anal. Discrete Math. 15, No. 2, 426-443 (2021). MSC: 05A05 05A15 05A40 11B37 11B68 11B83 33E30 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses. (English) Zbl 1499.05041 Appl. Anal. Discrete Math. 15, No. 1, 45-68 (2021). MSC: 05A15 11B83 15A99 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Miscellaneous formulae for the certain class of combinatorial sums and special numbers. (English) Zbl 1476.11035 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 151-167 (2021). MSC: 11B65 11B68 11B73 11B83 05A15 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. (English) Zbl 1480.11027 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 167, 24 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11B73 11B65 11B68 11B75 11B83 11S80 68W01 05E05 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Applications of constructed new families of generating-type functions interpolating new and known classes of polynomials and numbers. (English) Zbl 1472.05010 Math. Methods Appl. Sci. 44, No. 14, 11245-11268 (2021). MSC: 05A15 05A19 05A40 05C30 11B68 30C15 26C05 12D10 33C45 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Computational formulas and identities for new classes of Hermite-based Milne-Thomson type polynomials: analysis of generating functions with Euler’s formula. (English) Zbl 1470.05017 Math. Methods Appl. Sci. 44, No. 8, 6731-6762 (2021). MSC: 05A15 11B68 11B73 26C05 22B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kilar, Neslihan; Simsek, Yilmaz New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions. (English) Zbl 1476.11044 Milan J. Math. 89, No. 1, 217-239 (2021). MSC: 11B68 11B73 05A15 26C05 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. (English) Zbl 1473.11055 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021). MSC: 11B68 11B73 05A15 11S40 11S80 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kilar, Neslihan; Simsek, Yilmaz Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. (English) Zbl 1456.05007 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 28, 20 p. (2021). MSC: 05A15 11B39 11B68 26C05 33B10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yilmaz New classes of Catalan-type numbers and polynomials with their applications related to \(p\)-adic integrals and computational algorithms. (English) Zbl 1493.05020 Turk. J. Math. 44, No. 6, 2337-2355 (2020). MSC: 05A15 05A19 11B37 11B68 11S80 30E20 34A99 35A99 68W01 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Şimşek, Yilmaz A special approach to derive new formulas for some special numbers and polynomials. (English) Zbl 1493.05019 Turk. J. Math. 44, No. 6, 2217-2240 (2020). MSC: 05A15 11B39 11B68 26C05 30F15 33B10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Gun, Damla; Simsek, Yilmaz Combinatorial sums involving Stirling, Fubini, Bernoulli numbers and approximate values of Catalan numbers. (English) Zbl 1499.05009 Adv. Stud. Contemp. Math., Kyungshang 30, No. 4, 503-513 (2020). MSC: 05A05 05A15 11A25 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials. (English) Zbl 1499.05038 Adv. Stud. Contemp. Math., Kyungshang 30, No. 4, 493-502 (2020). MSC: 05A15 11B39 11B68 26C05 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Askan, Zehra Selin; Kucukoglu, Irem; Simsek, Yilmaz A survey on some old and new identities associated with Laplace distribution and Bernoulli numbers. (English) Zbl 1499.05028 Adv. Stud. Contemp. Math., Kyungshang 30, No. 4, 455-469 (2020). MSC: 05A15 11B37 11B68 11B83 26C05 33C45 60E05 60E10 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Identities and relations for special numbers and polynomials: an approach to trigonometric functions. (English) Zbl 1499.05037 Filomat 34, No. 2, 535-542 (2020). MSC: 05A15 11B68 11B73 26C05 40C10 × Cite Format Result Cite Review PDF Full Text: DOI
So, Ji Suk; Simsek, Yilmaz Derivation of computational formulas for Changhee polynomials and their functional and differential equations. (English) Zbl 1503.11050 J. Inequal. Appl. 2020, Paper No. 149, 22 p. (2020). MSC: 11B68 11B73 11S80 05A15 05A10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Simsek, Yilmaz A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. (English) Zbl 1474.11073 Appl. Anal. Discrete Math. 14, No. 3, 627-640 (2020). MSC: 11B83 05A15 12D10 11B68 26C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Formulas involving sums of powers, special numbers and polynomials arising from \(p\)-adic integrals, trigonometric and generating functions. (English) Zbl 1476.11043 Publ. Inst. Math., Nouv. Sér. 108(122), 103-120 (2020). MSC: 11B68 11B73 11S80 05A15 26A42 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Gun, Damla; Simsek, Yilmaz Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers. (English) Zbl 1484.11072 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 167, 12 p. (2020). Reviewer: Mustapha Chellali (Oujda) MSC: 11B68 11B73 26C05 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Simsek, Yilmaz Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. (English) Zbl 07216532 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 183-228 (2020). MSC: 65-XX 41Axx 65Axx 65Dxx 00Axx × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers. (English) Zbl 1513.05023 Appl. Anal. Discrete Math. 13, No. 2, 478-494 (2019). MSC: 05A15 11B83 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Identities and relations for Fubini type numbers and polynomials via generating functions and \(p\)-adic integral approach. (English) Zbl 1499.05036 Publ. Inst. Math., Nouv. Sér. 106(120), 113-123 (2019). MSC: 05A15 11B68 11B73 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz; So, Ji Suk Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. (English) Zbl 1499.05050 J. Inequal. Appl. 2019, Paper No. 62, 11 p. (2019). MSC: 05A15 05A10 11B73 11B83 26D05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: Link
Simsek, Yilmaz Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. (English) Zbl 1453.11033 Math. Methods Appl. Sci. 42, No. 18, 7030-7046 (2019). MSC: 11B65 11S80 11B68 11B73 05A10 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Buket; Simsek, Yilmaz Multidimensional Bernstein polynomials and Bézier curves: analysis of machine learning algorithm for facial expression recognition based on curvature. (English) Zbl 1428.68277 Appl. Math. Comput. 344-345, 150-162 (2019). MSC: 68T10 65D18 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Relations on Bernoulli and Euler polynomials related to trigonometric functions. (English) Zbl 1463.11067 Adv. Stud. Contemp. Math., Kyungshang 29, No. 2, 191-198 (2019). MSC: 11B68 05A15 26C05 33B10 × Cite Format Result Cite Review PDF
Simsek, Yilmaz; So, Ji Suk On generating functions for Boole type polynomials and numbers of higher order and their applications. (English) Zbl 1423.05009 Symmetry 11, No. 3, Paper No. 352, 13 p. (2019). MSC: 05A10 05A15 11B68 11B73 11B83 26C05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Milovanović, Gradimir V.; Simsek, Yilmaz; Stojanović, Vladica S. A class of polynomials and connections with Bernoulli’s numbers. (English) Zbl 1473.11054 J. Anal. 27, No. 3, 709-726 (2019). MSC: 11B68 11B83 26C05 26C10 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. (English) Zbl 1461.33003 J. Math. Anal. Appl. 477, No. 2, 1328-1352 (2019). MSC: 33C05 05A10 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach. (English) Zbl 1429.11046 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 931-948 (2019). MSC: 11B68 11B73 11S80 05A15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications. (English) Zbl 1419.05019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281-297 (2019). MSC: 05A15 05A05 11B68 11B83 11M35 11A25 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: Link
Simsek, Yilmaz Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials. arXiv:1910.09296 Preprint, arXiv:1910.09296 [math.NT] (2019). × Cite Format Result Cite Full Text: arXiv OA License
Kucukoglu, Irem; Simsek, Yilmaz Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions. (English) Zbl 1499.05020 Filomat 32, No. 20, 6879-6891 (2018). MSC: 05A10 05A15 11A25 11B37 11B68 11B83 26C99 34A99 33B15 65Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Combinatorial identities and sums for special numbers and polynomials. (English) Zbl 1499.05024 Filomat 32, No. 20, 6869-6877 (2018). MSC: 05A10 05A15 11B37 11B39 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Computation of \(k\)-ary Lyndon words using generating functions and their differential equations. (English) Zbl 1513.68042 Filomat 32, No. 10, 3455-3463 (2018). MSC: 68R15 05A05 05A15 11A25 11B83 33C90 34A99 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Simsek, Yilmaz; Cakic, Nenad Identities associated with Milne-Thomson type polynomials and special numbers. (English) Zbl 1497.05008 J. Inequal. Appl. 2018, Paper No. 84, 13 p. (2018). MSC: 05A15 05A10 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Simsek, Yilmaz New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. (English) Zbl 1488.11072 Appl. Anal. Discrete Math. 12, No. 1, 1-35 (2018). MSC: 11B83 05A15 11B68 11B73 12D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Şimşek, Yılmaz Combinatorial sums and binomial identities associated with the beta-type polynomials. (English) Zbl 1488.05014 Hacet. J. Math. Stat. 47, No. 5, 1144-1155 (2018). MSC: 05A15 11B68 11S80 26C05 26C10 30C15 43A40 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kucukoglu, Irem; Simsek, Yilmaz Remarks on recurrence formulas for the Apostol-type numbers and polynomials. (English) Zbl 1414.05027 Adv. Stud. Contemp. Math., Kyungshang 28, No. 4, 643-657 (2018). MSC: 05A15 11B68 11B73 11B83 35A99 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials. (English) Zbl 1477.68253 ETNA, Electron. Trans. Numer. Anal. 50, 98-108 (2018). MSC: 68R15 05A15 11A25 11B68 11B83 11S40 11Y16 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Simsek, Yilmaz Generating functions for unification of the multidimensional Bernstein polynomials and their applications. (English) Zbl 1433.11024 Math. Methods Appl. Sci. 41, No. 17, 7170-7181 (2018). MSC: 11B75 11B68 11B73 05A15 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
Yuluklu, Eda; Simsek, Yilmaz; Komatsu, Takao Identities related to special polynomials and combinatorial numbers. (English) Zbl 1499.11130 Filomat 31, No. 15, 4833-4844 (2017). MSC: 11B68 05A15 05A19 12D10 26C05 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Adiga, Chandrashekar; Bulkhali, Nasser Abdo Saeed; Simsek, Yilmaz; Srivastava, H. M. A continued fraction of Ramanujan and some Ramanujan-Weber class invariants. (English) Zbl 1499.11029 Filomat 31, No. 13, 3975-3997 (2017). MSC: 11A55 11F20 11R04 × Cite Format Result Cite Review PDF Full Text: DOI
Alkan, Mustafa; Simsek, Yilmaz The actions on the generating functions for the family of the generalized Bernoulli polynomials. (English) Zbl 1488.11055 Filomat 31, No. 1, 35-44 (2017). MSC: 11B68 11S80 30B99 11B83 26C05 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz On generating functions for the special polynomials. (English) Zbl 1488.11059 Filomat 31, No. 1, 9-16 (2017). MSC: 11B68 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Yardimci, Ahmet; Simsek, Yilmaz Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. (English) Zbl 1412.11048 J. Nonlinear Sci. Appl. 10, No. 5, 2767-2777 (2017). MSC: 11B68 11B73 11S80 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Identities and relations related to combinatorial numbers and polynomials. (English) Zbl 1407.11041 Proc. Jangjeon Math. Soc. 20, No. 1, 127-135 (2017). MSC: 11B68 11B73 11B65 05A15 05A19 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Simsek, Yilmaz Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. (English) Zbl 1430.11033 Math. Methods Appl. Sci. 40, No. 7, 2347-2361 (2017). MSC: 11B68 05A15 11B37 11B73 68R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kucukoglu, Irem; Simsek, Yilmaz Combinatorial identities associated with new families of the numbers and polynomials and their approximation values. arXiv:1711.00850 Preprint, arXiv:1711.00850 [math.NT] (2017). MSC: 05A10 05A15 11B37 11B68 11B83 11J68 26C05 × Cite Format Result Cite Full Text: DOI arXiv OA License
Simsek, Yilmaz Combinatorial applications of the special numbers and polynomials. arXiv:1701.02158 Preprint, arXiv:1701.02158 [math.CO] (2017). × Cite Format Result Cite Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Aygunes, A. Ahmet; Simsek, Yılmaz; Srivastava, H. M. A sequence of modular forms associated with higher-order derivatives of Weierstrass-type functions. (English) Zbl 1456.11050 Filomat 30, No. 12, 3253-3263 (2016). MSC: 11F11 33B15 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Alkan, Mustafa; Simsek, Yilmaz The families of \(L\)-series associated with decomposition of the generating functions. (English) Zbl 1459.11057 Filomat 30, No. 7, 1789-1799 (2016). MSC: 11B68 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Combinatorial identities associated with Bernstein type basis functions. (English) Zbl 1433.11023 Filomat 30, No. 7, 1683-1689 (2016). MSC: 11B75 11B65 05A19 33D99 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz A note on generating functions for the unification of the Bernstein type basis functions. (English) Zbl 1474.33009 Filomat 30, No. 4, 985-992 (2016). MSC: 33B15 26C10 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Ozdemir, Gulsah; Simsek, Yilmaz Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. (English) Zbl 1459.11044 Filomat 30, No. 4, 969-975 (2016). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
Simsek, Yilmaz Beta-type polynomials and their generating functions. (English) Zbl 1410.11012 Appl. Math. Comput. 254, 172-182 (2015). MSC: 11B65 44A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz; Gunay, Melih On Bernstein type polynomials and their applications. (English) Zbl 1350.33017 Adv. Difference Equ. 2015, Paper No. 79, 11 p. (2015). MSC: 33C45 30C15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lokesha, V.; Nagaraja, K. M.; Simsek, Y. Corrigendum to: “New inequalities on homogeneous functions”. (English) Zbl 1332.26062 J. Indones. Math. Soc. 21, No. 1, 71-72 (2015). MSC: 26E60 26D15 11B57 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. (English) Zbl 1331.05024 Math. Methods Appl. Sci. 38, No. 14, 3007-3021 (2015). Reviewer: Nikita Kalinin (Geneva) MSC: 05A15 05A19 11B68 33B15 × Cite Format Result Cite Review PDF Full Text: DOI