On a Class of Incomplete Gamma Functions with Applications
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A01=M. Aslam Chaudhry
A01=Syed M. Zubair
applied mathematics
astrophysical applications
Asymptotic Representation
Author_M. Aslam Chaudhry
Author_Syed M. Zubair
Beta Function
boundary value problems
Category=PBKF
Category=PBW
Closed Form Representations
conduction
Constant Surface Temperature
Contour Integral Representation
Decomposition Function
Dierential Equation
dimensionless
Dimensionless Temperature
distribution
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier methods
Gamma Function
Generalized Gamma Function
heat
Heat Conduction Problems
Heat Ux
Hurwitz Zeta Function
Incomplete Gamma Functions
laplace
Laplace Transform
Line Heat Source
Long Time Solution
Macdonald Function
mathematical modeling
mellin
Mellin Transform
Moving Point Heat Source
parameter
Plane Heat Source
Point Heat Source
problems
Stefan Number
Surface Heat Ux
Tabular Representation
temperature
thermal analysis
transform
transient heat transfer in biological tissues
Product details
- ISBN 9781584881438
- Weight: 850g
- Dimensions: 156 x 234mm
- Publication Date: 21 Aug 2001
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations. However, problems remain, particularly in heat conduction, astrophysics, and probability theory, whose solutions seem to defy even the most general classes of special functions.
On a Class of Incomplete Gamma Functions with Applications introduces a class of special functions, developed by the authors, useful in the analytic study of several heat conduction problems. It presents some basic properties of these functions, including their recurrence relations, special cases, asymptotic representations, and integral transform relationships. The authors explore applications of these generalized functions to problems in transient heat conduction, special cases of laser sources, and problems associated with heat transfer in human tissues. They also discuss applications to astrophysics, probability theory, and other problems in theory of functions and present a fundamental solution to time-dependent laser sources with convective-type boundary conditions.
Appendices include an introduction to heat conduction, Fourier conduction, a table of Laplace transforms, and well-known results regarding the improper integrals. Filled with tabular and graphical representations for applications, this monograph offers a unique opportunity to add to your mathematical toolbox a new and useful class of special functions.
Syed M. Zubair, M. Aslam Chaudhry
