Q: The nth coefficient of a series is given by aₙ = 1·5·9·13...(4n+1)/2ⁿ. What is the expression aₙ in terms of the gamma function?
(a)aₙ = 2ⁿ⁺² Γ(n + 5/4) / Γ(1/4)
(b)aₙ = 2ⁿ⁺¹ Γ(n + 5/4) / Γ(1/4)
(c)aₙ = 2ⁿ Γ(n + 5/4) / Γ(1/4)
(d)aₙ = 2ⁿ⁺³ Γ(n + 5/4) / Γ(1/4)
Correct Answer: (a)
Detailed explanation coming soon.