Dattoli, Giuseppe; Haneef, Mehnaz; Khan, Subuhi; Licciardi, Silvia Unveiling new perspectives of hypergeometric functions using umbral techniques. (English) Zbl 07910999 Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 77, 21 p. (2024). MSC: 05A40 33C99 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 77, 21 p. (2024; Zbl 07910999) Full Text: DOI arXiv
Dattoli, Giuseppe; Carpanese, Mariano; Di Palma, Emanuele; Petralia, Alberto A note on the magnetic multipole polynomials. (English) Zbl 07827599 Rep. Math. Phys. 93, No. 1, 121-127 (2024). MSC: 78-XX 81-XX PDFBibTeX XMLCite \textit{G. Dattoli} et al., Rep. Math. Phys. 93, No. 1, 121--127 (2024; Zbl 07827599) Full Text: DOI
Kei, Beauduin Explicit Expressions for Iterates of Power Series. arXiv:2409.09809 Preprint, arXiv:2409.09809 [math.CO] (2024). MSC: 39B12 05A40 05A30 13F25 BibTeX Cite \textit{B. Kei}, ``Explicit Expressions for Iterates of Power Series'', Preprint, arXiv:2409.09809 [math.CO] (2024) Full Text: arXiv OA License
Beauduin, Kei Operational Umbral Calculus. arXiv:2407.16348 Preprint, arXiv:2407.16348 [math.CO] (2024). MSC: 05A40 13F25 39B12 11B73 05A10 05A19 47B99 47B33 11B68 11B37 BibTeX Cite \textit{K. Beauduin}, ``Operational Umbral Calculus'', Preprint, arXiv:2407.16348 [math.CO] (2024) Full Text: arXiv OA License
Kim, Dojin; Park, Sangbeom; Kwon, Jongkyum Some identities of degenerate higher-order Daehee polynomials based on \(\lambda\)-umbral calculus. (English) Zbl 1532.11032 Electron. Res. Arch. 31, No. 6, 3064-3085 (2023). MSC: 11B68 05A40 05A15 PDFBibTeX XMLCite \textit{D. Kim} et al., Electron. Res. Arch. 31, No. 6, 3064--3085 (2023; Zbl 1532.11032) Full Text: DOI OA License
O’Farrell, Anthony G. Riordan groups in higher dimensions. (English) Zbl 1532.20053 Math. Proc. R. Ir. Acad. 123A, No. 2, 95-124 (2023). MSC: 20H25 05A05 05A40 PDFBibTeX XMLCite \textit{A. G. O'Farrell}, Math. Proc. R. Ir. Acad. 123A, No. 2, 95--124 (2023; Zbl 1532.20053) Full Text: arXiv
Kisil, V. V. Transmutations from the covariant transform on the Heisenberg group and an extended umbral principle. (English) Zbl 07792156 Lobachevskii J. Math. 44, No. 8, 3384-3397 (2023). MSC: 43A80 05A40 43A32 16S32 PDFBibTeX XMLCite \textit{V. V. Kisil}, Lobachevskii J. Math. 44, No. 8, 3384--3397 (2023; Zbl 07792156) Full Text: DOI arXiv
San Kim, Dae; Kim, Taekyun Central factorial numbers associated with sequences of polynomials. (English) Zbl 1538.05020 Math. Methods Appl. Sci. 46, No. 9, 10348-10383 (2023). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{D. San Kim} and \textit{T. Kim}, Math. Methods Appl. Sci. 46, No. 9, 10348--10383 (2023; Zbl 1538.05020) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun Stirling numbers associated with sequences of polynomials. (English) Zbl 1540.11017 Appl. Comput. Math. 22, No. 1, 80-115 (2023). MSC: 11B73 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Appl. Comput. Math. 22, No. 1, 80--115 (2023; Zbl 1540.11017) Full Text: DOI arXiv
Raza, Nusrat; Zainab, Umme Umbral treatment and lacunary generating function for Hermite polynomials. (English) Zbl 1527.05023 Georgian Math. J. 30, No. 6, 941-949 (2023). MSC: 05A40 33C45 42A55 PDFBibTeX XMLCite \textit{N. Raza} and \textit{U. Zainab}, Georgian Math. J. 30, No. 6, 941--949 (2023; Zbl 1527.05023) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus. (English) Zbl 1527.11014 Open Math. 21, Article ID 20230124, 12 p. (2023). MSC: 11B65 05A40 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 21, Article ID 20230124, 12 p. (2023; Zbl 1527.11014) Full Text: DOI OA License
Nahid, Tabinda; Rani, Hari Ponnama Mittag-Leffler based Bessel and Tricomi functions via umbral approach. (English) Zbl 07749695 Rep. Math. Phys. 92, No. 1, 1-17 (2023). MSC: 05A40 33E12 33F10 33C10 44A10 44A20 42A38 33B10 PDFBibTeX XMLCite \textit{T. Nahid} and \textit{H. P. Rani}, Rep. Math. Phys. 92, No. 1, 1--17 (2023; Zbl 07749695) Full Text: DOI
Bardenova, Viktoriya; Insko, Erik; Johnson, Katie; Sullivan, Shaun A combinatorial model for lane merging. (English) Zbl 1535.05012 J. Integer Seq. 26, No. 5, Article 23.5.3, 29 p. (2023). MSC: 05A15 05A19 05A40 05C30 05C38 90B20 PDFBibTeX XMLCite \textit{V. Bardenova} et al., J. Integer Seq. 26, No. 5, Article 23.5.3, 29 p. (2023; Zbl 1535.05012) Full Text: arXiv Link
Liu, Zhiguo A \(q\)-operational equation and the Rogers-Szegő polynomials. (English) Zbl 1519.05028 Sci. China, Math. 66, No. 6, 1199-1216 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 05A40 33D15 33D99 PDFBibTeX XMLCite \textit{Z. Liu}, Sci. China, Math. 66, No. 6, 1199--1216 (2023; Zbl 1519.05028) Full Text: DOI
Kim, Dae San; Kim, Taekyun Representing polynomials by degenerate Bernoulli polynomials. (English) Zbl 1533.11058 Quaest. Math. 46, No. 5, 959-980 (2023). MSC: 11B68 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Quaest. Math. 46, No. 5, 959--980 (2023; Zbl 1533.11058) Full Text: DOI arXiv
Elmonser, Hedi Symmetric \(q\)-extension of \(\lambda\)-Apostol-Euler polynomials via umbral calculus. (English) Zbl 1518.05017 Indian J. Pure Appl. Math. 54, No. 2, 583-594 (2023). MSC: 05A40 05A30 11B68 33D05 PDFBibTeX XMLCite \textit{H. Elmonser}, Indian J. Pure Appl. Math. 54, No. 2, 583--594 (2023; Zbl 1518.05017) Full Text: DOI
Yun, Sang Jo; Park, Jin-Woo Study of degenerate derangement polynomials by \(\lambda\)-umbral calculus. (English) Zbl 1535.33029 Demonstr. Math. 56, Article ID 20220240, 17 p. (2023). MSC: 33E20 05A40 11B83 PDFBibTeX XMLCite \textit{S. J. Yun} and \textit{J.-W. Park}, Demonstr. Math. 56, Article ID 20220240, 17 p. (2023; Zbl 1535.33029) Full Text: DOI OA License
Belbachir, Hacène; Djemmada, Yahia; Hadj-Brahim, Slimane Unified Bernoulli-Euler polynomials of Apostol type. (English) Zbl 1516.11025 Indian J. Pure Appl. Math. 54, No. 1, 76-83 (2023). MSC: 11B68 05A40 05A19 11B73 05A15 PDFBibTeX XMLCite \textit{H. Belbachir} et al., Indian J. Pure Appl. Math. 54, No. 1, 76--83 (2023; Zbl 1516.11025) Full Text: DOI arXiv
Krattenthaler, C. Hankel determinants of linear combinations of moments of orthogonal polynomials. II. (English) Zbl 1533.33015 Ramanujan J. 61, No. 2, 597-627 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C45 42C05 15B05 15A15 15B52 11C20 11M50 05A15 05A40 PDFBibTeX XMLCite \textit{C. Krattenthaler}, Ramanujan J. 61, No. 2, 597--627 (2023; Zbl 1533.33015) Full Text: DOI arXiv OA License
Cao, Jian; Zhou, Hong-Li; Arjika, Sama Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications. (English) Zbl 1511.05019 Ramanujan J. 60, No. 4, 1033-1067 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 33D15 33D45 05A40 11B65 PDFBibTeX XMLCite \textit{J. Cao} et al., Ramanujan J. 60, No. 4, 1033--1067 (2023; Zbl 1511.05019) Full Text: DOI
Munarini, Emanuele Two-parameter identities for \(q\)-Appell polynomials. (English) Zbl 1509.05032 J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023). MSC: 05A30 05A19 05A40 11B65 11B68 33C45 33D45 PDFBibTeX XMLCite \textit{E. Munarini}, J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023; Zbl 1509.05032) Full Text: Link
Liu, Yanxin; Sun, Yidong; Zhao, Di Generalized Delannoy matrices and their combinatorial properties. (English) Zbl 1518.05028 Graphs Comb. 39, No. 2, Paper No. 19, 20 p. (2023). MSC: 05B20 05C38 05A15 05A10 05A19 05A40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Graphs Comb. 39, No. 2, Paper No. 19, 20 p. (2023; Zbl 1518.05028) Full Text: DOI
Cheon, Gi-Sang; Forgács, Tamás; Tran, Khang On the zeros of certain Sheffer sequences and their cognate sequences. arXiv:2301.04726 Preprint, arXiv:2301.04726 [math.CV] (2023). MSC: 05A15 05A40 30C15 30E15 BibTeX Cite \textit{G.-S. Cheon} et al., ``On the zeros of certain Sheffer sequences and their cognate sequences'', Preprint, arXiv:2301.04726 [math.CV] (2023) Full Text: arXiv OA License
Kim, Dae San; Kim, Taekyun Representations by degenerate Bernoulli polynomials arising from Volkenborn integral. (English) Zbl 1527.05022 Math. Methods Appl. Sci. 45, No. 11, 6615-6634 (2022). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Math. Methods Appl. Sci. 45, No. 11, 6615--6634 (2022; Zbl 1527.05022) Full Text: DOI
Agratini, Octavian; Precup, Radu Iterates of multidimensional approximation operators via Perov theorem. (English) Zbl 1538.41041 Carpathian J. Math. 38, No. 3, 539-546 (2022). MSC: 41A36 41A63 PDFBibTeX XMLCite \textit{O. Agratini} and \textit{R. Precup}, Carpathian J. Math. 38, No. 3, 539--546 (2022; Zbl 1538.41041) Full Text: DOI
Kim, Hye Kyung Combinatorial identities degenerate \(r\)-Dowling-Lah polynomials and numbers arising from degenerate umbral calculus. (English) Zbl 1516.11028 Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 303-324 (2022). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{H. K. Kim}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 303--324 (2022; Zbl 1516.11028)
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities of degenerate poly-\(q\)-Bernoulli and poly-\(q\)-Euler polynomials arising from \(\lambda\)-\(q\)-Sheffer sequences. (English) Zbl 1516.11030 Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 283-301 (2022). MSC: 11B68 11B83 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 283--301 (2022; Zbl 1516.11030)
Park, Jin-Woo; Pyo, Sung-Soo A note on degenerate Bernoulli polynomials arising from umbral calculus. (English) Zbl 1516.11032 Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 509-525 (2022). MSC: 11B68 11B73 05A40 PDFBibTeX XMLCite \textit{J.-W. Park} and \textit{S.-S. Pyo}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 509--525 (2022; Zbl 1516.11032)
Kim, Hye Kyung Some identities of degenerate \(r\)-Dowling polynomials of the second kind arising from umbral calculus. (English) Zbl 1516.11035 Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 443-456 (2022). MSC: 11B83 11B68 11B73 05A15 05A40 PDFBibTeX XMLCite \textit{H. K. Kim}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 443--456 (2022; Zbl 1516.11035)
Ma, Yuankui; Kim, Taekyun; Lee, Hyunseok; Kim, Dae San Some identities of fully degenerate dowling and fully degenerate Bell polynomials arising from \(\lambda\)-umbral calculus. (English) Zbl 1517.11022 Fractals 30, No. 10, Article ID 2240257, 10 p. (2022). MSC: 11B73 05A40 PDFBibTeX XMLCite \textit{Y. Ma} et al., Fractals 30, No. 10, Article ID 2240257, 10 p. (2022; Zbl 1517.11022) Full Text: DOI arXiv
Kimoto, Kazufumi Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums. (English) Zbl 1511.11001 Ryukyu Math. J. 35, 1-11 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11A07 11B68 05A40 PDFBibTeX XMLCite \textit{K. Kimoto}, Ryukyu Math. J. 35, 1--11 (2022; Zbl 1511.11001) Full Text: Link
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung \(\lambda\)-\(q\)-Sheffer sequence and its applications. (English) Zbl 1506.05029 Demonstr. Math. 55, 843-865 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 05A40 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Demonstr. Math. 55, 843--865 (2022; Zbl 1506.05029) Full Text: DOI OA License
Munarini, Emanuele An operational approach to the generalized rencontres polynomials. (English) Zbl 1513.05044 Kragujevac J. Math. 46, No. 3, 461-469 (2022). MSC: 05A40 05A19 05A15 15A04 PDFBibTeX XMLCite \textit{E. Munarini}, Kragujevac J. Math. 46, No. 3, 461--469 (2022; Zbl 1513.05044) Full Text: Link
Munarini, Emanuele Umbral operators for Cayley and Sylvester continuants. (English) Zbl 1513.05043 Appl. Anal. Discrete Math. 16, No. 2, 307-327 (2022). MSC: 05A40 05A19 05A15 PDFBibTeX XMLCite \textit{E. Munarini}, Appl. Anal. Discrete Math. 16, No. 2, 307--327 (2022; Zbl 1513.05043) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Park, Seongho; Park, Jin Woo A study on \(\lambda\)-Sheffer sequences by other \(\lambda\)-Sheffer sequences. (English) Zbl 1498.05039 J. Nonlinear Convex Anal. 23, No. 2, 321-336 (2022). MSC: 05A40 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Nonlinear Convex Anal. 23, No. 2, 321--336 (2022; Zbl 1498.05039) Full Text: Link
Ercolani, Nicholas M.; Waters, Patrick Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel-Appell polynomials. (English) Zbl 1497.05020 Random Matrices Theory Appl. 11, No. 4, Article ID 2250037, 152 p. (2022). MSC: 05A40 05C30 16T05 34M55 60B20 60C05 70S10 83E30 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{P. Waters}, Random Matrices Theory Appl. 11, No. 4, Article ID 2250037, 152 p. (2022; Zbl 1497.05020) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San Representation by degenerate Frobenius-Euler polynomials. (English) Zbl 1510.11079 Georgian Math. J. 29, No. 5, 741-754 (2022). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Georgian Math. J. 29, No. 5, 741--754 (2022; Zbl 1510.11079) Full Text: DOI arXiv
Kim, Hye Kyung; Lee, Dae Sik Note on \(\lambda\)-linear function arising from the \(p\)-adic Fermionic integral on \(\mathbb{Z}_p\). (English) Zbl 1504.11126 Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 147-156 (2022). MSC: 11S80 11F20 11B68 11B83 PDFBibTeX XMLCite \textit{H. K. Kim} and \textit{D. S. Lee}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 147--156 (2022; Zbl 1504.11126)
Kim, Hye Kyung Study on some identities arising from higher order Changhee polynomials bases. (English) Zbl 1499.11109 Proc. Jangjeon Math. Soc. 25, No. 2, 145-157 (2022). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{H. K. Kim}, Proc. Jangjeon Math. Soc. 25, No. 2, 145--157 (2022; Zbl 1499.11109)
Cheon, Gi-Sang; Forgács, Tamás; Kim, Hana; Tran, Khang On combinatorial properties and the zero distribution of certain Sheffer sequences. (English) Zbl 1498.05038 J. Math. Anal. Appl. 514, No. 1, Article ID 126273, 57 p. (2022). MSC: 05A40 05A15 30C15 PDFBibTeX XMLCite \textit{G.-S. Cheon} et al., J. Math. Anal. Appl. 514, No. 1, Article ID 126273, 57 p. (2022; Zbl 1498.05038) Full Text: DOI arXiv OA License
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Hanyoung Representations of degenerate Hermite polynomials. (English) Zbl 1491.05036 Adv. Appl. Math. 139, Article ID 102359, 18 p. (2022). MSC: 05A40 11B68 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Appl. Math. 139, Article ID 102359, 18 p. (2022; Zbl 1491.05036) Full Text: DOI arXiv
Pathan, M. A.; Khan, Waseem A. On \(\lambda \)-Changhee-Hermite polynomials. (English) Zbl 1487.11029 Analysis, München 42, No. 2, 57-69 (2022). MSC: 11B83 33C45 05A30 05A40 11B68 11S80 PDFBibTeX XMLCite \textit{M. A. Pathan} and \textit{W. A. Khan}, Analysis, München 42, No. 2, 57--69 (2022; Zbl 1487.11029) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Kwon, Jongkyum Representations by degenerate Daehee polynomials. (English) Zbl 1485.05010 Open Math. 20, 179-194 (2022). MSC: 05A19 05A40 11B68 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 20, 179--194 (2022; Zbl 1485.05010) Full Text: DOI OA License
Licciardi, Silvia; Dattoli, Giuseppe Guide to the umbral calculus. A different mathematical language. (English) Zbl 1508.05002 Singapore: World Scientific (ISBN 978-981-12-5532-8/hbk; 978-981-12-5534-2/ebook). xxi, 272 p. (2022). Reviewer: Emanuele Munarini (Milano) MSC: 05-01 05A40 05A19 PDFBibTeX XMLCite \textit{S. Licciardi} and \textit{G. Dattoli}, Guide to the umbral calculus. A different mathematical language. Singapore: World Scientific (2022; Zbl 1508.05002) Full Text: DOI
Munarini, Emanuele A note on a definite integral of combinatorial interest. (English) Zbl 1482.05021 Bull. Inst. Comb. Appl. 94, 35-52 (2022). MSC: 05A40 05A19 05A10 11B65 11Y35 PDFBibTeX XMLCite \textit{E. Munarini}, Bull. Inst. Comb. Appl. 94, 35--52 (2022; Zbl 1482.05021) Full Text: Link
Di Persio, Luca; Kondratiev, Yuri; Vardanyan, Viktorya Classical gases with singular densities. arXiv:2212.11902 Preprint, arXiv:2212.11902 [math-ph] (2022). MSC: 05A40 46E50 60H40 60G55 BibTeX Cite \textit{L. Di Persio} et al., ``Classical gases with singular densities'', Preprint, arXiv:2212.11902 [math-ph] (2022) Full Text: arXiv OA License
Dattoli, Giuseppe; Di Palma, Emanuele; Licciardi, Silvia On an Umbral point of view to the Gaussian and Gaussian like functions. arXiv:2207.05551 Preprint, arXiv:2207.05551 [math.CA] (2022). MSC: 05A40 44A99 47B99 44A99 47B99 47A62 33C52 33C65 33C99 33B10 33B15 33C10 33C20 46T12 33B10 33B20 28C20 97I50 BibTeX Cite \textit{G. Dattoli} et al., ``On an Umbral point of view to the Gaussian and Gaussian like functions'', Preprint, arXiv:2207.05551 [math.CA] (2022) Full Text: arXiv OA License
Cheon, Gi-Sang; Forgács, Tamás; Mwafise, Arnauld Mesinga; Tran, Khang The zero locus and some combinatorial properties of certain exponential Sheffer sequences. arXiv:2205.15471 Preprint, arXiv:2205.15471 [math.CO] (2022). MSC: 05A15 05A40 30C15 30E15 BibTeX Cite \textit{G.-S. Cheon} et al., ``The zero locus and some combinatorial properties of certain exponential Sheffer sequences'', Preprint, arXiv:2205.15471 [math.CO] (2022) Full Text: arXiv OA License
Kim, Dae San; Kim, Taekyun; Kwon, Jongkyum; Lee, Si-Hyeon; Park, Seongho On \(\lambda\)-linear functionals arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). (English) Zbl 1494.05015 Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021). MSC: 05A40 11S80 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021; Zbl 1494.05015) Full Text: DOI OA License
Jang, Leechae; Kim, Yongjin; Piao, Xiangfan; Kwon, Jongkyum A note on derangement polynomials and degenerate derangement polynomials. (English) Zbl 1499.05060 Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 457-470 (2021). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{L. Jang} et al., Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 457--470 (2021; Zbl 1499.05060) Full Text: DOI
Park, Jin-Woo; Kim, Byung Moon; Kwon, Jongkyum Some identities of the degenerate Bernoulli polynomials of the second kind arising from \(\lambda\)-Sheffer sequences. (English) Zbl 1512.11032 Proc. Jangjeon Math. Soc. 24, No. 3, 323-342 (2021). MSC: 11B83 33E20 05A30 PDFBibTeX XMLCite \textit{J.-W. Park} et al., Proc. Jangjeon Math. Soc. 24, No. 3, 323--342 (2021; Zbl 1512.11032) Full Text: DOI
Ernst, Thomas Three algebraic number systems based on the \(q\)-addition with applications. (English) Zbl 1494.05014 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 75, No. 2, 45-71 (2021). Reviewer: Emanuele Munarini (Milano) MSC: 05A40 05A30 30B10 PDFBibTeX XMLCite \textit{T. Ernst}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 75, No. 2, 45--71 (2021; Zbl 1494.05014) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{Y. Simsek}, Appl. Anal. Discrete Math. 15, No. 2, 426--443 (2021; Zbl 1499.05015) Full Text: DOI
Dattoli, G.; Germano, B.; Licciardi, S.; Martinelli, M. R. Integrals of special functions and umbral methods. (English) Zbl 1499.33089 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 120, 9 p. (2021). MSC: 33E30 05A40 33C10 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 120, 9 p. (2021; Zbl 1499.33089) Full Text: DOI OA License
Piao, Xiangfan; Kim, Yunjae; Kwon, Jongkyum A note on degenerate Lah-Bell polynomials arising from derivatives. (English) Zbl 1481.05016 Nonlinear Funct. Anal. Appl. 26, No. 4, 733-747 (2021). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{X. Piao} et al., Nonlinear Funct. Anal. Appl. 26, No. 4, 733--747 (2021; Zbl 1481.05016) Full Text: Link
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Park, Jin-Woo On the type 2 poly-Bernoulli polynomials associated with umbral calculus. (English) Zbl 1496.11040 Open Math. 19, 878-887 (2021). MSC: 11B83 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 19, 878--887 (2021; Zbl 1496.11040) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{F. Bencherif} et al., Commun. Math. 29, No. 3, 343--355 (2021; Zbl 1480.05012) Full Text: DOI OA License
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok Representations of degenerate poly-Bernoulli polynomials. (English) Zbl 1504.11041 J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021; Zbl 1504.11041) Full Text: DOI arXiv OA License
Zhang, Chungou; Meng, Xiangying; Zhang, Jingwen On preservation of binomial operators. (English) Zbl 1504.41033 J. Inequal. Appl. 2021, Paper No. 50, 8 p. (2021). MSC: 41A36 41A35 05A40 41A10 05A15 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Inequal. Appl. 2021, Paper No. 50, 8 p. (2021; Zbl 1504.41033) Full Text: DOI OA License
Kurt, Burak; Kurt, Veli On the \((p, q)\)-poly-Korobov polynomials and related polynomials. (English) Zbl 1499.11118 J. Appl. Math. Inform. 39, No. 1-2, 45-56 (2021). MSC: 11B68 11B83 11S80 05A19 05A40 PDFBibTeX XMLCite \textit{B. Kurt} and \textit{V. Kurt}, J. Appl. Math. Inform. 39, No. 1--2, 45--56 (2021; Zbl 1499.11118) 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 PDFBibTeX XMLCite \textit{Y. Simsek}, Math. Methods Appl. Sci. 44, No. 14, 11245--11268 (2021; Zbl 1472.05010) Full Text: DOI
Soleymanpour, Ghorban; Janfada, Ali S. Some algebras in terms of differential operators. (English) Zbl 1467.13038 Int. Electron. J. Algebra 29, 120-133 (2021). MSC: 13N10 55S10 05A40 16T05 55N22 PDFBibTeX XMLCite \textit{G. Soleymanpour} and \textit{A. S. Janfada}, Int. Electron. J. Algebra 29, 120--133 (2021; Zbl 1467.13038) Full Text: Link
Belbachir, Hacène; Djemmada, Yahia On central Fubini-like numbers and polynomials. (English) Zbl 1488.11065 Miskolc Math. Notes 22, No. 1, 77-90 (2021). MSC: 11B83 05A10 05A19 05A40 11B37 11B73 11C08 PDFBibTeX XMLCite \textit{H. Belbachir} and \textit{Y. Djemmada}, Miskolc Math. Notes 22, No. 1, 77--90 (2021; Zbl 1488.11065) Full Text: DOI arXiv
Mendez, Miguel Shift-plethysm, hydra continued fractions, and \(m\)-distinct partitions. (English) Zbl 1466.05006 Eur. J. Comb. 95, Article ID 103340, 24 p. (2021). MSC: 05A15 05A17 05A40 11P81 11A55 PDFBibTeX XMLCite \textit{M. Mendez}, Eur. J. Comb. 95, Article ID 103340, 24 p. (2021; Zbl 1466.05006) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{B. Kurt}, Bull. Korean Math. Soc. 58, No. 2, 315--326 (2021; Zbl 1476.11050) Full Text: DOI
Carrillo, Sergio A.; Hurtado, Miguel Appell and Sheffer sequences: on their characterizations through functionals and examples. (English. French summary) Zbl 1459.05022 C. R., Math., Acad. Sci. Paris 359, No. 2, 205-217 (2021). MSC: 05A40 11B83 11B68 33C45 PDFBibTeX XMLCite \textit{S. A. Carrillo} and \textit{M. Hurtado}, C. R., Math., Acad. Sci. Paris 359, No. 2, 205--217 (2021; Zbl 1459.05022) Full Text: DOI arXiv OA License
Kim, Dae San; Kim, Taekyun Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences. (English) Zbl 1471.11110 J. Math. Anal. Appl. 493, No. 1, Article ID 124521, 21 p. (2021). MSC: 11B83 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, J. Math. Anal. Appl. 493, No. 1, Article ID 124521, 21 p. (2021; Zbl 1471.11110) Full Text: DOI
Cao, Jian; Arjika, Sama; Hounkonnou, Mahouton Norbert Generalized q-difference equations for general q-polynomials with double q-binomial coefficients. arXiv:2112.12075 Preprint, arXiv:2112.12075 [math.CO] (2021). MSC: 05A30 33D15 33D45 05A40 11B65 BibTeX Cite \textit{J. Cao} et al., ``Generalized q-difference equations for general q-polynomials with double q-binomial coefficients'', Preprint, arXiv:2112.12075 [math.CO] (2021) Full Text: arXiv OA License
Kim, Dae san; Kim, Taekyun Representations by ordered Bell and degenerate ordered Bell polynomials. arXiv:2110.03178 Preprint, arXiv:2110.03178 [math.NT] (2021). MSC: 05A19 05A40 11B68 11B83 BibTeX Cite \textit{D. s. Kim} and \textit{T. Kim}, ``Representations by ordered Bell and degenerate ordered Bell polynomials'', Preprint, arXiv:2110.03178 [math.NT] (2021) Full Text: arXiv OA License
Feinsilver, Philip Canonical Polynomial Sequences: Inverse Pairs. arXiv:2106.02132 Preprint, arXiv:2106.02132 [math.FA] (2021). MSC: 33C45 05A40 42C05 17B30 BibTeX Cite \textit{P. Feinsilver}, ``Canonical Polynomial Sequences: Inverse Pairs'', Preprint, arXiv:2106.02132 [math.FA] (2021) Full Text: arXiv OA License
Saigo, Hayato Category Algebras and States on Categories. arXiv:2105.13642 Preprint, arXiv:2105.13642 [math.CT] (2021). MSC: 46L53 20L99 18E99 05A40 05A99 15A99 16D20 BibTeX Cite \textit{H. Saigo}, ``Category Algebras and States on Categories'', Preprint, arXiv:2105.13642 [math.CT] (2021) Full Text: arXiv OA License
Srivastava, Hari Mohan; Arjika, Sama A General Family of \(q\)-Hypergeometric Polynomials and Associated Generating Functions. arXiv:2105.10502 Preprint, arXiv:2105.10502 [math.CO] (2021). MSC: 05A30 33D15 33D45 05A40 11B65 BibTeX Cite \textit{H. M. Srivastava} and \textit{S. Arjika}, ``A General Family of $q$-Hypergeometric Polynomials and Associated Generating Functions'', Preprint, arXiv:2105.10502 [math.CO] (2021) Full Text: DOI arXiv OA License
Arjika, Sama Certain generating functions for Cigler’s polynomials. arXiv:2104.14405 Preprint, arXiv:2104.14405 [math.CO] (2021). MSC: 05A30 33D15 33D45 05A40 11B65 BibTeX Cite \textit{S. Arjika}, ``Certain generating functions for Cigler's polynomials'', Preprint, arXiv:2104.14405 [math.CO] (2021) Full Text: arXiv OA License
Qian, Tang A Characterization of Umbral Calculus Inspired by Fractional Sums. arXiv:2103.09117 Preprint, arXiv:2103.09117 [math.CA] (2021). MSC: 05A40 40A25 33Exx BibTeX Cite \textit{T. Qian}, ``A Characterization of Umbral Calculus Inspired by Fractional Sums'', Preprint, arXiv:2103.09117 [math.CA] (2021) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Han-Young; Lee, Hyunseok; Jang, Lee-Chae A family of associated sequences and their representations by Appell polynomials. (English) Zbl 1492.11040 Proc. Jangjeon Math. Soc. 23, No. 4, 445-458 (2020). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 23, No. 4, 445--458 (2020; Zbl 1492.11040) Full Text: DOI
Paçin, Rahime Dere Some recurrence formulas for the \(q\)-Bernoulli and \(q\)-Euler polynomials. (English) Zbl 1499.05069 Filomat 34, No. 2, 663-669 (2020). MSC: 05A40 05A30 11B83 PDFBibTeX XMLCite \textit{R. D. Paçin}, Filomat 34, No. 2, 663--669 (2020; Zbl 1499.05069) Full Text: DOI
Raza, Nusrat; Zainab, Umme; Araci, Serkan; Esi, Ayhan Identities involving 3-variable Hermite polynomials arising from umbral method. (English) Zbl 1489.33008 Adv. Difference Equ. 2020, Paper No. 640, 15 p. (2020). MSC: 33C45 05A40 PDFBibTeX XMLCite \textit{N. Raza} et al., Adv. Difference Equ. 2020, Paper No. 640, 15 p. (2020; Zbl 1489.33008) Full Text: DOI OA License
Wani, Shahid Ahmad; Nisar, Kottakkaran Sooppy Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials. (English) Zbl 1484.33017 AIMS Math. 5, No. 5, 4432-4443 (2020). MSC: 33C45 05A40 PDFBibTeX XMLCite \textit{S. A. Wani} and \textit{K. S. Nisar}, AIMS Math. 5, No. 5, 4432--4443 (2020; Zbl 1484.33017) Full Text: DOI OA License
Ma, Yuankui; Kim, Dae San; Kim, Taekyun; Kim, Hanyoung; Lee, Hyunseok Some identities of Lah-Bell polynomials. (English) Zbl 1486.11035 Adv. Difference Equ. 2020, Paper No. 510, 9 p. (2020). MSC: 11B73 05A40 05A19 11B83 PDFBibTeX XMLCite \textit{Y. Ma} et al., Adv. Difference Equ. 2020, Paper No. 510, 9 p. (2020; Zbl 1486.11035) Full Text: DOI OA License
Kim, Hye Kyung; Jang, Lee-Chae A note on degenerate poly-Genocchi numbers and polynomials. (English) Zbl 1485.11045 Adv. Difference Equ. 2020, Paper No. 392, 14 p. (2020). MSC: 11B68 11B73 11B65 05A40 11M41 PDFBibTeX XMLCite \textit{H. K. Kim} and \textit{L.-C. Jang}, Adv. Difference Equ. 2020, Paper No. 392, 14 p. (2020; Zbl 1485.11045) Full Text: DOI OA License
Kim, Taekyun; Kim, Dae San; Kim, Han-Young; Lee, Hyunseok; Jang, Lee-Chae Degenerate Bell polynomials associated with umbral calculus. (English) Zbl 1503.11052 J. Inequal. Appl. 2020, Paper No. 226, 14 p. (2020). MSC: 11B73 11B68 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2020, Paper No. 226, 14 p. (2020; Zbl 1503.11052) Full Text: DOI OA License
Belbachir, Hacène; Djemmada, Yahia Generalized geometric polynomials via Steffensen’s generalized factorials and Tanny’s operators. (English) Zbl 1462.05008 Indian J. Pure Appl. Math. 51, No. 4, 1713-1727 (2020). MSC: 05A10 05A18 05A19 05A40 11B37 11B83 11C08 PDFBibTeX XMLCite \textit{H. Belbachir} and \textit{Y. Djemmada}, Indian J. Pure Appl. Math. 51, No. 4, 1713--1727 (2020; Zbl 1462.05008) Full Text: DOI
Herscovici, Orli; Mansour, Toufik New degenerate Bernoulli, Euler, and Genocchi polynomials. (English) Zbl 1488.11057 PU.M.A., Pure Math. Appl. 29, No. 1, 1-16 (2020). MSC: 11B68 05A10 05A19 05A40 11B65 PDFBibTeX XMLCite \textit{O. Herscovici} and \textit{T. Mansour}, PU.M.A., Pure Math. Appl. 29, No. 1, 1--16 (2020; Zbl 1488.11057) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{T. Ernst}, Commun. Korean Math. Soc. 35, No. 2, 417--445 (2020; Zbl 1460.33022) Full Text: DOI
Arjika, Sama \(q\)-difference equations for homogeneous \(q\)-difference operators and their applications. (English) Zbl 1451.05016 J. Difference Equ. Appl. 26, No. 7, 987-999 (2020). MSC: 05A30 05A15 33D15 33D45 05A40 11B65 PDFBibTeX XMLCite \textit{S. Arjika}, J. Difference Equ. Appl. 26, No. 7, 987--999 (2020; Zbl 1451.05016) Full Text: DOI arXiv
Ernst, Thomas On the complex \(q\)-Appell polynomials. (English) Zbl 1473.11050 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 1, 31-43 (2020). Reviewer: Matthieu Josuat-Vergès (Paris) MSC: 11B68 05A40 05A30 PDFBibTeX XMLCite \textit{T. Ernst}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 1, 31--43 (2020; Zbl 1473.11050) Full Text: DOI OA License
Górska, K.; Horzela, A. The Volterra type equations related to the non-Debye relaxation. (English) Zbl 1463.45009 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105246, 13 p. (2020). MSC: 45D05 05A40 33E12 44A10 PDFBibTeX XMLCite \textit{K. Górska} and \textit{A. Horzela}, Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105246, 13 p. (2020; Zbl 1463.45009) Full Text: DOI arXiv
Mihoubi, Miloud; Taharbouchet, Said Some identities involving Appell polynomials. (English) Zbl 1443.05019 Quaest. Math. 43, No. 2, 203-212 (2020). Reviewer: M. P. Chaudhary (New Delhi) MSC: 05A40 11B68 PDFBibTeX XMLCite \textit{M. Mihoubi} and \textit{S. Taharbouchet}, Quaest. Math. 43, No. 2, 203--212 (2020; Zbl 1443.05019) Full Text: DOI arXiv
Jiu, Lin; Vignat, Christophe; Wakhare, Tanay Analytic continuation for multiple zeta values using symbolic representations. (English) Zbl 1437.11129 Int. J. Number Theory 16, No. 3, 579-602 (2020). Reviewer: Jiangtao Li (Peking) MSC: 11M32 05A40 32D99 PDFBibTeX XMLCite \textit{L. Jiu} et al., Int. J. Number Theory 16, No. 3, 579--602 (2020; Zbl 1437.11129) Full Text: DOI arXiv
Dattoli, G.; Licciardi, Silvia Operational, umbral methods, Borel transform and negative derivative operator techniques. (English) Zbl 1432.05017 Integral Transforms Spec. Funct. 31, No. 3, 192-220 (2020). MSC: 05A40 47A62 33C52 44A99 PDFBibTeX XMLCite \textit{G. Dattoli} and \textit{S. Licciardi}, Integral Transforms Spec. Funct. 31, No. 3, 192--220 (2020; Zbl 1432.05017) Full Text: DOI Link
Kim, Taekyun; Kim, Dae San Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus. (English) Zbl 1439.11074 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 1 (2020). MSC: 11B73 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 1 (2020; Zbl 1439.11074) Full Text: DOI
Benouaret, Chahrazed; Salinier, Alain Umbral calculus in Ore extensions. (English) Zbl 1528.16026 J. Pure Appl. Algebra 224, No. 3, 958-986 (2020). MSC: 16S36 05A40 12H10 13N10 16T15 PDFBibTeX XMLCite \textit{C. Benouaret} and \textit{A. Salinier}, J. Pure Appl. Algebra 224, No. 3, 958--986 (2020; Zbl 1528.16026) Full Text: DOI
López, Ronald Orozco One-dimensional dynamical systems type delta over Integral Domains. arXiv:2006.16973 Preprint, arXiv:2006.16973 [math.DS] (2020). MSC: 13G05 39A05 05A40 BibTeX Cite \textit{R. O. López}, ``One-dimensional dynamical systems type delta over Integral Domains'', Preprint, arXiv:2006.16973 [math.DS] (2020) Full Text: arXiv OA License
Dattoli, G.; Licciardi, S.; Pidatella, R. M.; Sabia, E. Umbral-Algebraic Methods and Asymptotic Properties of Special Polynomials. arXiv:2002.06245 Preprint, arXiv:2002.06245 [math.CA] (2020). MSC: 44A99 47B99 47A62 05A40 33C52 33C65 33C99 33B10 33B15 33C45 35A22 44A20 BibTeX Cite \textit{G. Dattoli} et al., ``Umbral-Algebraic Methods and Asymptotic Properties of Special Polynomials'', Preprint, arXiv:2002.06245 [math.CA] (2020) Full Text: arXiv OA License
Licciardi, S.; Dattoli, G.; Pidatell, R. M. Generating Functions for Lacunary Legendre and Legendre-like Polynomials. arXiv:2002.05722 Preprint, arXiv:2002.05722 [math.CA] (2020). MSC: 44A99 47B99 47A62 05A40 33C52 33C65 33C99 33B10 33B15 33C45 42C05 BibTeX Cite \textit{S. Licciardi} et al., ``Generating Functions for Lacunary Legendre and Legendre-like Polynomials'', Preprint, arXiv:2002.05722 [math.CA] (2020) Full Text: arXiv OA License
Benyattou, Abdelkader A remarkable congruence involving Appell polynomials. arXiv:2002.03994 Preprint, arXiv:2002.03994 [math.NT] (2020). MSC: 11B73 11A07 05A40 BibTeX Cite \textit{A. Benyattou}, ``A remarkable congruence involving Appell polynomials'', Preprint, arXiv:2002.03994 [math.NT] (2020) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Jang, Gwan-Woo; Kim, Dojin Two variable higher-order central Fubini polynomials. (English) Zbl 1498.11074 J. Inequal. Appl. 2019, Paper No. 146, 13 p. (2019). MSC: 11B73 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2019, Paper No. 146, 13 p. (2019; Zbl 1498.11074) Full Text: DOI OA License
Bespalov, M. S. Bernoulli’s discrete periodic functions. (Russian) Zbl 1459.05021 Prikl. Diskretn. Mat. 2019, No. 43, 16-36 (2019). MSC: 05A40 05A15 42A38 PDFBibTeX XMLCite \textit{M. S. Bespalov}, Prikl. Diskretn. Mat. 2019, No. 43, 16--36 (2019; Zbl 1459.05021) Full Text: DOI MNR
Behr, Nicolas; Dattoli, Giuseppe; Lattanzi, Ambra; Licciardi, Silvia Dual numbers and operational umbral methods. (English) Zbl 1432.05016 Axioms 8, No. 3, Paper No. 77, 11 p. (2019). MSC: 05A40 11C20 44A40 PDFBibTeX XMLCite \textit{N. Behr} et al., Axioms 8, No. 3, Paper No. 77, 11 p. (2019; Zbl 1432.05016) Full Text: DOI arXiv OA License
Aslan, Hatice; Ismail, Mourad E. H. A \(q\)-translation approach to Liu’s calculus. (English) Zbl 1433.05045 Ann. Comb. 23, No. 3-4, 465-488 (2019). MSC: 05A30 05A40 33D45 PDFBibTeX XMLCite \textit{H. Aslan} and \textit{M. E. H. Ismail}, Ann. Comb. 23, No. 3--4, 465--488 (2019; Zbl 1433.05045) Full Text: DOI