Kumar, Susheel Generalized growth of special monogenic functions. (English) Zbl 1310.30041 J. Complex Anal. 2014, Article ID 510232, 5 p. (2014). Summary: We study the generalized growth of special monogenic functions. The characterizations of generalized order, generalized lower order, generalized type, and generalized lower type of special monogenic functions have been obtained in terms of their Taylor’s series coefficients. Cited in 2 Documents MSC: 30G35 Functions of hypercomplex variables and generalized variables Keywords:monogenic functions; generalized order; generalized type PDF BibTeX XML Cite \textit{S. Kumar}, J. Complex Anal. 2014, Article ID 510232, 5 p. (2014; Zbl 1310.30041) Full Text: DOI OpenURL References: [1] R. de Almeida and R. S. Kraußhar, “On the asymptotic growth of entire monogenic functions,” Zeitschrift für Analysis und ihre Anwendungen, vol. 24, no. 4, pp. 791-813, 2005. · Zbl 1095.30044 [2] D. Constales, R. de Almeida, and R. S. Krausshar, “On the growth type of entire monogenic functions,” Archiv der Mathematik, vol. 88, no. 2, pp. 153-163, 2007. · Zbl 1109.30040 [3] D. Constales, R. de Almeida, and R. S. Krausshar, “On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy-Riemann system in \Bbb Rn+1,” Journal of Mathematical Analysis and Applications, vol. 327, no. 2, pp. 763-775, 2007. · Zbl 1108.30041 [4] M. A. Abul-Ez and D. Constales, “Basic sets of polynomials in Clifford analysis,” Complex Variables: Theory and Application, vol. 14, no. 1-4, pp. 177-185, 1990. · Zbl 0663.41009 [5] M. A. Abul-Ez and R. De Almeida, “On the lower order and type of entire axially monogenic functions,” Results in Mathematics, vol. 63, no. 3-4, pp. 1257-1275, 2013. · Zbl 1270.30017 [6] M. N. Seremeta, “On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion,” The American Mathematical Society Translations, vol. 88, no. 2, pp. 291-301, 1970. [7] G. S. Srivastava and S. Kumar, “On the generalized order and generalized type of entire monogenic functions,” Demon Math, vol. 46, no. 4, pp. 663-677, 2013. · Zbl 1290.30062 [8] S. Kumar and K. Bala, “Generalized type of entire monogenic functions of slow growth,” Transylvanian Journal of Mathematics and Mechanics, vol. 3, no. 2, pp. 95-102, 2011. · Zbl 1273.30044 [9] S. Kumar and K. Bala, “Generalized order of entire monogenic functions of slow growth,” Journal of Nonlinear Science and its Applications, vol. 5, no. 6, pp. 418-425, 2012. · Zbl 1295.30114 [10] S. Kumar and K. Bala, “Generalized growth of monogenic Taylor series of finite convergence radius,” Annali dell’Universitá di Ferrara VII: Scienze Matematiche, vol. 59, no. 1, pp. 127-140, 2013. · Zbl 1300.30091 [11] M. A. Abul-Ez and D. Constales, “Linear substitution for basic sets of polynomials in Clifford analysis,” Portugaliae Mathematica, vol. 48, no. 2, pp. 143-154, 1991. · Zbl 0737.30029 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.