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Volume 4, Issue 1-2 (2016) , Pages [1] - [56]

CAUCHY INTEGRAL FORMULA FOR MATRIX FUNCTIONS 

[1] G. H. Golud and C. F. Van Loan, Matrix Computations, The Johns Hopkins Press Ltd., London, 1996.

[2] J. Higham, Functions of Matrices Theory and Computation, SIAM, USA, 2008.

[3] R. Brualdi and D. Cvetkvić, A Combinatorial Approach to Matrix Theory and its Applications, New York, 2009.

[4] H. Gingold, Factorization of matrix functions and their inverses via power product expansions, Linear Algebra and its Applications 430 (2009), 2835-2858.

[5] A. M. Mathai, Jacobians of Matrix Transformations and Functions of Matrix Argument, World Scientific Publishing, New York, 1997.

[6] A. M. Mathai, A Handbook of Generalized Special Functions for Statistical and Physical Sciences, Oxford University Press, Oxford, 1993.

[7] M. Abdalla, On Some Convergence Properties of Matrix Functions, MSc. Diss. South Valley University, Egypt, 2010. (Lambert Academic Publishing, Germany, ISBN 978-3-659-23592-4, (2012)).

[8] Z. Kishka, Functions of several square commutative complex matrices, S. S. Q. J. Pure Appl. Math. 66 (1992), 69-77.

[9] M. Abul-Dahab and Z. Kishka, Analytic functions of complex matrices, Trans. J. Math. Anal. Appl. 2 (2015), 105-130.

[10] Z. Kishka, M. Abul-Ez, M. Saleem and H. Abd-Elmageed, L’Hospital rule for matrix functions, J. Egyp. Math. Soc. 21 (2013), 115-118.

[11] R. F. Rinehart, The derivative of a matrix function, Proc. Amer. Math. Soc. 7 (1955), 2-5.

[12] Z. M. Kishka and M. Abul-Dahab, On power series expansions of complex matrix functions, AJOMCOR 3 (2015), 190-200.

[13] E. D. Rainville, Special Functions, New York, 1960.

[14] N. N. Lebedev, Special Functions and their Applications, Dover Publications Inc., New York, 1972.

[15] L. Y. Luke, The Special Functions and their Approximations, Vol. 2, Academic Press, New York, 1969.

[16] M. S. Metwally, On p-Kummers matrix function of complex variable under differential operators their properties, Southeast Asian Bull. Math. 35 (2011),  261-276.

[17] Z. M. Kishka, M. A. Saleem, M. T. Mohammed and M. Abul-Dahab, On the p and q-Appell matrix function, Southeast Asian Bull. Math. 36 (2012), 837-848.