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Register a new userStudy Some applications of Gamma function
دراسة بعض تطبيقات دالة غاما
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نبيل خضير سلمان( باحث )
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في هذا البحث ندرس دالة غاما و تمثيلها لمتحول عقدي، و ذلك باستخدام إما سلسلة أو تكامل مناسب و تطبيقاتها في حل بعض أنواع المعادلات التكاملية و علاقتها بدالة زيتا لريمان، و استخدامها في حل التكامل المحيطي، و في إيجاد تكامل هانكل المحيطي وفقاً لدالة بيسل من أجل عدد صحيح n.
In this paper, we study the Gamma function, and the representation of a complex variable, using either sequential or appropriate integration ,and its application in solving certain types of integral equations , and their relationship to the Riemann- Zeta function, and used to solve the contour integration ,and to find the integration of Hankel’s contour integral according to Bessel function for integer n.
References used
ABRAMOWITZ, M. and STEGUN, I.A., (EDS.), “Gamma (Factorial) Function” and “Incomplete Gamma Function.” §6.1 and §6.5 in Handbook of Mathematical Functions and Formulas, Graphs and Mathematical Tables, 9th printing, Dover, New York, 1992, pp. 255-258 and pp 260-263
ANDREWS, G.E., ASKEY, R. and ROY, R., Special Functions, Cambridge University Press, Cambridge, 2001
ARTIN, E. The Gamma Function, HOLT, RINEHART, and WINSTO, New York,2002
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On the other han
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negative effect could be to the breakdown of the auxins in the cuttings. It had
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regard to clones of Populus alba cv. buchovina. As for as the doses were
concened, these were no signix ficant diffecsnses among maens of that ments.
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Information Technology and systems theory with its powerful
mathematical techniques, such as modeling, simulation and optimization,
are very useful tools in the planning, development and management of
water resources. These techniques are even mor
e important in areas
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parts of these experiments, study and analysis of the results, beside
revealing the advantage of expanding their application to similar
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Grobner Bases(GB) are considered as one of the new
mathematical tools that motivate the researchers in all
mathematical domains.They use in solving many of mathematical
problems. A Grobner basis is a set of multivariate polynomials that
has desir
able algorithmic properties. Every set of polynomials can
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