Expansions of the exponential integral in incomplete gamma functions
نویسندگان
چکیده
منابع مشابه
Some expansions of the exponential integral in series of the incomplete Gamma function
In a recent paper in this journal, Gautschi et al. [W. Gautschi, F.E. Harris, N.M. Temme, Expansions of the exponential integral in incomplete Gamma functions, Appl. Math. Lett. 16 (2003) 1095–1099] presented an interesting expansion formula for the exponential integral E1(z) in a series of the incomplete Gamma function γ (α, z). Their investigation was motivated by a search for better methods ...
متن کاملQuasi-orthogonal expansions for functions in BMO
For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M
متن کاملAsymptotic Expansions of Integral Mean of Polygamma Functions
Let s,t be two given real numbers, s = t and m ∈ N . We determine the coefficients aj(s,t) in the asymptotic expansion of integral (or differential) mean of polygamma functions ψ (m)(x) : 1 t− s ∫ t s ψ (m)(x+u)du ∼ ψ (m) ( x ∞ ∑ j=0 aj(s,t) x j ) , x → ∞. We derive the recursive relations for polynomials aj(t,s) , and also as polynomials in intrinsic variables α = 2 (s + t − 1) , β = 4 [1− (t ...
متن کاملThe Sugeno fuzzy integral of concave functions
The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....
متن کاملAsymptotic expansions for ratios of products of gamma functions
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subject Classification: Primary 33B15; Secondary 33C20
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2003
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(03)90100-5