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The closed-form solutions to a considerable number of problems in applied mathematics, astrophysics, nuclear physics, and engineering can be expressed in terms of incomplete Gamma functions. Focusing on several heat conduction problems, this monograph provides a comprehensive study of these functions. It describes the properties of the class of generalized Gamma functions, explores useful generalizations and decompositions of the functions, and provides tabular and graphical representations for numerical and scientific computations apart from their applications to heat conduction problems with time-dependent boundary conditions.
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