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Z.M. Kishka M. Abul-Ez M. Saleem H. Abd-Elmageed 《Journal of the Egyptian Mathematical Society》2013,21(2):115-118
In this paper, the L’Hospital rule for evaluating limits of complex matrix functions is introduced. We present some specific examples on certain matrix functions showing the applicability of our approach. 相似文献
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Reverse generalized Bessel matrix differential equation,polynomial solutions,and their properties 下载免费PDF全文
M. Abul‐Dahab M. Abul‐Ez Z. Kishka D. Constales 《Mathematical Methods in the Applied Sciences》2015,38(6):1005-1013
This paper is devoted to the study of reverse generalized Bessel matrix polynomials (RGBMPs) within complex analysis. This study is assumed to be a generalization and improvement of the scalar case into the matrix setting. We give a definition of the reverse generalized Bessel matrix polynomials Θn(A; B; z), , for parameter (square) matrices A and B, and provide a second‐order matrix differential equations satisfied by these polynomials. Subsequently, a Rodrigues‐type formula, a matrix recurrence relationship, and a pseudo‐generating function are then developed for RGBMPs. © 2013 The Authors Mathematical Methods in the Applied Sciences Published by John Wiley & Sons, Ltd. 相似文献
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In this paper, it is shown that certain classes of regular functions of several complex variables be represented by exponential sets of polynomials in hyperelliptical regions. Moreover, an upper bound for the order of exponential set is given. 相似文献
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In this paper we will define the order and type of basic and composite sets of polynomials of several complex variables in complete Reinhardt domains. Also, the property
of basic and composite sets of polynomials of several complex variables in complete Reinhardt domains is discussed. 相似文献
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