Any good books on gamma functions

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SUMMARY

This discussion highlights essential textbooks for understanding gamma functions and evaluating complex integrals such as ∫e^x^3 dx and ∫sin(x^2) dx. Key recommendations include Abramowitz & Stegun's "Handbook of Mathematical Functions," a long-standing reference, and the more recent NIST "Handbook of Mathematical Functions." Additionally, Gradshteyn & Ryzhik's "Table of Integrals, Series, and Products" is noted for its extensive coverage of integrals, making it a valuable resource for students and professionals alike.

PREREQUISITES
  • Understanding of calculus, specifically integral calculus
  • Familiarity with gamma functions and their applications
  • Knowledge of mathematical functions and their properties
  • Access to mathematical reference materials
NEXT STEPS
  • Explore Abramowitz & Stegun's "Handbook of Mathematical Functions" for foundational knowledge
  • Study the NIST "Handbook of Mathematical Functions" for contemporary applications
  • Research Gradshteyn & Ryzhik's "Table of Integrals, Series, and Products" for integral evaluations
  • Investigate online resources and forums for additional examples and exercises on gamma functions
USEFUL FOR

Mathematicians, students in advanced calculus courses, and anyone interested in evaluating complex integrals and understanding gamma functions will benefit from this discussion.

Mathmanman
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Are there any good textbooks for gamma functions? Explaining them?
Because I need to evaluate stuff like ∫e^x^3 dx or ∫sin(x^2) dx
 
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Mathmanman said:
Are there any good textbooks for gamma functions? Explaining them?
Because I need to evaluate stuff like ∫e^x^3 dx or ∫sin(x^2) dx

Abramowitz & Stegun's "Handbook of Mathematical Functions" was the standard reference for a number of years:

http://people.math.sfu.ca/~cbm/aands/

For people who are interested in a more recent reference, there is the NIST "Handbook of Mathematical Functions"

https://www.amazon.com/dp/0521140633/?tag=pfamazon01-20

I'm sure if you search the web, you'll probably run across a copy of the latter work somewhere.

For a rather extensive reference on integrals of various functions, Gradshteyn & Ryzhik's "Table of Integrals, Series, and Products" is very handy to have. It should be available in most college libraries.
 
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