Prove that 1 (c) 2F₁ (a, b; c; z)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
icon
Related questions
Question
Ex. 10. Prove that
lim
1
c--n I'(c)
2F₁ (a, b; c; z)
_(a)n+1 (b)n+1
(n+1)!
=
zn+¹ F₁ (a+n+1, b+n+1; n+2; z)
Transcribed Image Text:Ex. 10. Prove that lim 1 c--n I'(c) 2F₁ (a, b; c; z) _(a)n+1 (b)n+1 (n+1)! = zn+¹ F₁ (a+n+1, b+n+1; n+2; z)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax