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开 本: 16开纸 张: 胶版纸包 装: 平装-胶订是否套装: 否国际标准书号ISBN: 9787560355191
本书英文影印版由 Elsevier (Singapore) Pte Ltd. 授权哈尔滨工业大学出版社在中国大陆境内独家发行。本版仅限在中国境内(不包括香港、澳门以及台湾)出版及标价销售。未经许可之出口，视为违反著作权法，将受民事及刑事法律之制裁。
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【目 录】
Preface
Acknowledgements
1 Introduction and Preliminaries
1.1 Gamma and Beta Functions
The Gamma Function
Pochhammer’s Symbol and the Factorial Function
Multiplication Formulas of Legendre and Gauss
Stirling’s Formula for n! and its Generalizations
The Beta Function
The Incomplete Gamma Functions
The Incomplete Beta Functions
The Error Functions
The Bohr-Mollerup Theorem
1.2 The Euler-Mascheroni Constant
A Set of Known Integral Representations for
Further Integral Representations for
From an Application of the Residue Calculus
1.3 Polygamma Functions
The Psi (or Digamma) Function
Integral Representations for
Gauss’s Formulas for
Special Values of
The Polygamma Functions
Special Values of
The Asymptotic Expansion for
1.4 The Multiple Gamma Functions
The Double Garmma Function
Integral Formulas Involving the Double Gamma Function
The Evaluation of an Integral Involving
The Multiple Gamma Functions
The Triple Gamma Function
1.5 The Gaussian Hypergeometric Function and its Generalization
The Gauss Hypergeometric Equation
Gauss’s Hypergeometric Series
The Hypergeometric Series and b Analy6c Continuation
Linear，Quadratic and Cubic Transformations
Hypergeometric Repesentations of Elementary Functions
Hypergeometric Repesentations of Other Functions
The Confluent Hypergeometric Function
Important Properties of Kummer’s Confluent Hypergeomettric Function
The Generalized(Gauss and Kummer)Hypergeometric Function
Analyuc Continuation of the Generalized Hypergeometric Function
Functions Expressible in Terms of the Function
1.6 Stirling Numbers of the First and Second Kind
Stirling Numbers of the First Kind
Stirling Numbers of the Second Kind
Relationships Among Stirling Numbers of the First and
Second Kind and Bernoulli Numbers
1.7 Bernoulli, Euler and Genocchi Polynomials and Numbers
Bernoulli Polynomials and Numbers
The Generalized Bernoulli Polynomials and Numbers
Euler Polynomials and Numbers
Fourier Series Expansions of Bernoulli and Euler Polynomials
Relations Between Bernoulli and Euler Polynomials
The Generalized Euler Polynomials and Numbers
Genocchi Polynomials and Numbers
1.8 Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials and Numbers
Apostol-Bernoulli Polynomials and Numbers
Apostol-Genocchi Polynomials and Numbers
Important Remarks and Observations
Genera1izations and Unified Presentations of the Apostol Type Polynomia1s
1.9 Inequalities for the Gamma Function and the Double Gamma Function
The Gamma Function and Its Relatives
The Double Gamma Function
Problems
2 The Zeta and Related Functions
2.1 Multiple Hurwitz Zeta Functions
The Analytic Continuation of
Relationship between and
The Vardi-Barnes Multiple Gamma Functions
2.2 The Hurwitz(or Generalized)Zeta Function
Hurwitz’s Formula for
Hermite’s Formula for
Further Integral Representations for
……
3 Series Involving Zeta Functions
4 Evaluations and Series Representations
5 Determinants of the Laplacians
6 Extensions of Some Special Functions and Polynomials
7 Miscellaneous Results
Bibliography
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