Morais, J.; Porter, R. Michael Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation. (English) Zbl 1510.35170 Appl. Math. Comput. 438, Article ID 127588, 19 p. (2023). MSC: 35L03 30G35 41A10 PDF BibTeX XML Cite \textit{J. Morais} and \textit{R. M. Porter}, Appl. Math. Comput. 438, Article ID 127588, 19 p. (2023; Zbl 1510.35170) Full Text: DOI arXiv
Kumar, Susheel Generalized growth of special monogenic functions having finite convergence radius. (English) Zbl 1483.30091 Thai J. Math. 19, No. 1, 251-260 (2021). MSC: 30G35 PDF BibTeX XML Cite \textit{S. Kumar}, Thai J. Math. 19, No. 1, 251--260 (2021; Zbl 1483.30091) Full Text: Link
Abul-Ez, Mahmoud; Zayed, Mohra; Youssef, Ali Further developments of Bessel functions via conformable calculus with applications. (English) Zbl 1489.33003 J. Funct. Spaces 2021, Article ID 6069201, 17 p. (2021). MSC: 33C10 26A24 26A33 34A08 44A20 PDF BibTeX XML Cite \textit{M. Abul-Ez} et al., J. Funct. Spaces 2021, Article ID 6069201, 17 p. (2021; Zbl 1489.33003) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. (English) Zbl 1475.30111 Integral Equations Oper. Theory 93, No. 4, Paper No. 38, 63 p. (2021). MSC: 30G35 47B32 47S05 PDF BibTeX XML Cite \textit{D. Alpay} et al., Integral Equations Oper. Theory 93, No. 4, Paper No. 38, 63 p. (2021; Zbl 1475.30111) Full Text: DOI arXiv
Zayed, Mohra Certain bases of polynomials associated with entire functions in Clifford analysis. (English) Zbl 1468.30089 Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 28, 18 p. (2021). MSC: 30G35 PDF BibTeX XML Cite \textit{M. Zayed}, Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 28, 18 p. (2021; Zbl 1468.30089) Full Text: DOI
Zayed, Mohra Lower growth of generalized Hadamard product functions in Clifford setting. (English) Zbl 1462.30104 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 805-826 (2021). MSC: 30G35 30D15 PDF BibTeX XML Cite \textit{M. Zayed}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 805--826 (2021; Zbl 1462.30104) Full Text: DOI
Abul-Ez, Mahmoud; Abdalla, Mohamed; Al-Ahmadi, Aidah On the representation of monogenic functions by the product bases of polynomialsatics. (English) Zbl 1499.30324 Filomat 34, No. 4, 1209-1222 (2020). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{M. Abul-Ez} et al., Filomat 34, No. 4, 1209--1222 (2020; Zbl 1499.30324) Full Text: DOI
Abul-Ez, Mahmoud; Zayed, Mohra Criteria in nuclear Fréchet spaces and Silva spaces with refinement of the Cannon-Whittaker theory. (English) Zbl 1459.46002 J. Funct. Spaces 2020, Article ID 8817877, 15 p. (2020). Reviewer: José Bonet (Valencia) MSC: 46A04 46A11 46A35 PDF BibTeX XML Cite \textit{M. Abul-Ez} and \textit{M. Zayed}, J. Funct. Spaces 2020, Article ID 8817877, 15 p. (2020; Zbl 1459.46002) Full Text: DOI
Zayed, Mohra Generalized Hadamard product bases of special monogenic polynomials. (English) Zbl 1435.30145 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 10, 22 p. (2020). MSC: 30G35 PDF BibTeX XML Cite \textit{M. Zayed}, Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 10, 22 p. (2020; Zbl 1435.30145) Full Text: DOI
Abdalla, Mohamed; Abul-Ez, Mahmoud; Al-Ahmadi, Aida Further results on the inverse base of axially monogenic polynomials. (English) Zbl 1421.30061 Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1369-1381 (2019). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{M. Abdalla} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1369--1381 (2019; Zbl 1421.30061) Full Text: DOI
Abdalla, M.; Abul-Ez, M. The growth of generalized Hadamard product of entire axially monogenic functions. (English) Zbl 1488.30238 Hacet. J. Math. Stat. 47, No. 5, 1231-1239 (2018). MSC: 30G35 30D15 PDF BibTeX XML Cite \textit{M. Abdalla} and \textit{M. Abul-Ez}, Hacet. J. Math. Stat. 47, No. 5, 1231--1239 (2018; Zbl 1488.30238) Full Text: Link
Farghaly Hassan, Gamal; Aloui, Lassaad; Bakali, Allal Basic sets of special monogenic polynomials in Fréchet modules. (English) Zbl 1412.30138 J. Complex Anal. 2017, Article ID 2075938, 11 p. (2017). MSC: 30G35 PDF BibTeX XML Cite \textit{G. Farghaly Hassan} et al., J. Complex Anal. 2017, Article ID 2075938, 11 p. (2017; Zbl 1412.30138) Full Text: DOI
Kumar, Susheel Generalized slow growth of special monogenic functions. (English) Zbl 1339.30021 J. Appl. Anal. 22, No. 1, 67-79 (2016). MSC: 30G35 PDF BibTeX XML Cite \textit{S. Kumar}, J. Appl. Anal. 22, No. 1, 67--79 (2016; Zbl 1339.30021) Full Text: DOI
Hassan, G. F.; Aloui, L. Bernoulli and Euler polynomials in Clifford analysis. (English) Zbl 1320.30087 Adv. Appl. Clifford Algebr. 25, No. 2, 351-376 (2015). MSC: 30G35 PDF BibTeX XML Cite \textit{G. F. Hassan} and \textit{L. Aloui}, Adv. Appl. Clifford Algebr. 25, No. 2, 351--376 (2015; Zbl 1320.30087) Full Text: DOI
Kumar, Susheel Generalized growth of special monogenic functions. (English) Zbl 1310.30041 J. Complex Anal. 2014, Article ID 510232, 5 p. (2014). MSC: 30G35 PDF BibTeX XML Cite \textit{S. Kumar}, J. Complex Anal. 2014, Article ID 510232, 5 p. (2014; Zbl 1310.30041) Full Text: DOI
Abul-Ez, M.; Constales, D.; Morais, J.; Zayed, M. Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series. (English) Zbl 1320.30084 J. Math. Anal. Appl. 412, No. 1, 426-434 (2014). Reviewer: Michael Shapiro (México D. F.) MSC: 30G35 PDF BibTeX XML Cite \textit{M. Abul-Ez} et al., J. Math. Anal. Appl. 412, No. 1, 426--434 (2014; Zbl 1320.30084) Full Text: DOI
Aloui, L.; Abul-Ez, M. A.; Hassan, G. F. Bernoulli special monogenic polynomials with the difference and sum polynomial bases. (English) Zbl 1288.30048 Complex Var. Elliptic Equ. 59, No. 5, 631-650 (2014). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{L. Aloui} et al., Complex Var. Elliptic Equ. 59, No. 5, 631--650 (2014; Zbl 1288.30048) Full Text: DOI
Abul-Ez, M. A.; De Almeida, R. On the lower order and type of entire axially monogenic functions. (English) Zbl 1270.30017 Result. Math. 63, No. 3-4, 1257-1275 (2013). MSC: 30G35 30D15 PDF BibTeX XML Cite \textit{M. A. Abul-Ez} and \textit{R. De Almeida}, Result. Math. 63, No. 3--4, 1257--1275 (2013; Zbl 1270.30017) Full Text: DOI
Zayed, Mohra; Abul-Ez, Mahmoud; Morais, João Pedro Generalized derivative and primitive of Cliffordian bases of polynomials constructed through Appell monomials. (English) Zbl 1257.30058 Comput. Methods Funct. Theory 12, No. 2, 501-515 (2012). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{M. Zayed} et al., Comput. Methods Funct. Theory 12, No. 2, 501--515 (2012; Zbl 1257.30058) Full Text: DOI
Cação, Isabel; Falcão, Maria Irene; Malonek, Helmuth R. Matrix representations of a special polynomial sequence in arbitrary dimension. (English) Zbl 1272.30069 Comput. Methods Funct. Theory 12, No. 2, 371-391 (2012). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 30G35 PDF BibTeX XML Cite \textit{I. Cação} et al., Comput. Methods Funct. Theory 12, No. 2, 371--391 (2012; Zbl 1272.30069) Full Text: DOI
Hassan, G. F. A note on the growth order of the inverse and product bases of special monogenic polynomials. (English) Zbl 1254.30084 Math. Methods Appl. Sci. 35, No. 3, 286-292 (2012). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{G. F. Hassan}, Math. Methods Appl. Sci. 35, No. 3, 286--292 (2012; Zbl 1254.30084) Full Text: DOI
Saleem, M. A.; Abul-Ez, M.; Zayed, M. On polynomial series expansions of Cliffordian functions. (English) Zbl 1254.30087 Math. Methods Appl. Sci. 35, No. 2, 134-143 (2012). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{M. A. Saleem} et al., Math. Methods Appl. Sci. 35, No. 2, 134--143 (2012; Zbl 1254.30087) Full Text: DOI
Faustino, N.; Ren, G. (Discrete) Almansi type decompositions: an umbral calculus framework based on symmetries. (English) Zbl 1244.30069 Math. Methods Appl. Sci. 34, No. 16, 1961-1979 (2011). MSC: 30G35 05A40 PDF BibTeX XML Cite \textit{N. Faustino} and \textit{G. Ren}, Math. Methods Appl. Sci. 34, No. 16, 1961--1979 (2011; Zbl 1244.30069) Full Text: DOI arXiv
Morais, J.; Le, H. T. Orthogonal Appell systems of monogenic functions in the cylinder. (English) Zbl 1226.30045 Math. Methods Appl. Sci. 34, No. 12, 1472-1486 (2011). Reviewer: Nele De Schepper (Gent) MSC: 30G35 31B05 PDF BibTeX XML Cite \textit{J. Morais} and \textit{H. T. Le}, Math. Methods Appl. Sci. 34, No. 12, 1472--1486 (2011; Zbl 1226.30045) Full Text: DOI
Cação, I.; Falcão, M. I.; Malonek, H. R. Laguerre derivative and monogenic Laguerre polynomials: an operational approach. (English) Zbl 1217.33015 Math. Comput. Modelling 53, No. 5-6, 1084-1094 (2011). MSC: 33C45 PDF BibTeX XML Cite \textit{I. Cação} et al., Math. Comput. Modelling 53, No. 5--6, 1084--1094 (2011; Zbl 1217.33015) Full Text: DOI Link
Aloui, L.; Abul-Ez, M. A.; Hassan, G. F. On the order of the difference and sum bases of polynomials in Clifford setting. (English) Zbl 1233.30022 Complex Var. Elliptic Equ. 55, No. 12, 1117-1130 (2010). Reviewer: Ahmed El-Sayed (El-Hawiyah) MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{L. Aloui} et al., Complex Var. Elliptic Equ. 55, No. 12, 1117--1130 (2010; Zbl 1233.30022) Full Text: DOI
Cação, Isabel Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\). (English) Zbl 1206.30067 Numer. Algorithms 55, No. 2-3, 191-203 (2010). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 41A10 42C05 PDF BibTeX XML Cite \textit{I. Cação}, Numer. Algorithms 55, No. 2--3, 191--203 (2010; Zbl 1206.30067) Full Text: DOI
Constales, D.; De Almeida, R.; Kraußhar, R. S. Basics of a generalized Wiman-Valiron theory for monogenic Taylor series of finite convergence radius. (English) Zbl 1208.30044 Math. Z. 266, No. 3, 665-681 (2010). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 30D99 PDF BibTeX XML Cite \textit{D. Constales} et al., Math. Z. 266, No. 3, 665--681 (2010; Zbl 1208.30044) Full Text: DOI
Aloui, L.; Hassan, G. F. Hypercomplex derivative bases of polynomials in Clifford analysis. (English) Zbl 1182.30080 Math. Methods Appl. Sci. 33, No. 3, 350-357 (2010). MSC: 30G35 41A10 PDF BibTeX XML Cite \textit{L. Aloui} and \textit{G. F. Hassan}, Math. Methods Appl. Sci. 33, No. 3, 350--357 (2010; Zbl 1182.30080) Full Text: DOI
Constales, D.; De Almeida, R.; Kraußhar, R. S. On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy–Riemann system in \(\mathbb R^{n+1}\). (English) Zbl 1108.30041 J. Math. Anal. Appl. 327, No. 2, 763-775 (2007). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 30D15 PDF BibTeX XML Cite \textit{D. Constales} et al., J. Math. Anal. Appl. 327, No. 2, 763--775 (2007; Zbl 1108.30041) Full Text: DOI
Abul-Ez, M. A.; Constales, D. On the order of basic series representing Clifford valued functions. (English) Zbl 1058.30040 Appl. Math. Comput. 142, No. 2-3, 575-584 (2003). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 30C10 30D15 PDF BibTeX XML Cite \textit{M. A. Abul-Ez} and \textit{D. Constales}, Appl. Math. Comput. 142, No. 2--3, 575--584 (2003; Zbl 1058.30040) Full Text: DOI