$${X}$$ をBancah空間、$${Y}$$を線形ノルム空間とする。 $${\mathfrak{F}}$$を$${\text{X}}$$から$${\text{Y}}$$ への有界線形写像の族とする。 このとき、つぎの(1)(2)のいずれか一方が成立する。 （1）ある稠密な集合$${D\subset X}$$ があり、すなわち、$${\bar{D}=X}$$ において 各 ...

Mock theta functions were introduced by Ramanujan in 1920. They have become a vivid area of research, and they continue to play important roles in different parts of mathematics and physics. In this ...

連結なハウスドルフ空間$${X}$$ の各点が、平面$${{{\mathbb{R}}^{2}}}$$ の開集合と同相な近傍をもつとき、$${X}$$を2次元位相多様体という。2次元位相多様体$${X}$$の開集合$${U}$$から複素平面$${\mathbb{C}}$$ への（像$${V}$$ の上への）同相写像$${\varphi :U\to V\subset \mathbb{C} ...

Abstract: In this paper, we propose an efficient continuation method for locating multiple power flow solutions. We adopt the holomorphic embedding technique to represent solution curves as ...

Abstract: A short-time holomorphic Fourier transform is introduced, which is holomorphic regardless of the chosen window function. Based on the holomorphic properties and the Wirtinger derivative ...

In theorem LP [1], Liu proves the theorem when N = 2, but it can’t be ex-tended to the general case in his proof. So we consider the condition that the families of holomorphic curves share eleven ...

This is a preview. Log in through your library . Abstract Let D be an annulus in the complex plane with closure D and boundary ∂ D. We prove that a function f, holomorphic in D with C1 + ε(∂ D) ...

This is a simple holomorphic function plotter. It let you write a function and plot it on two complex plan. The domain plan show what color of the image plan a point will take when passing through the ...

A BOUNDARY CONDITION FOR A HOLOMORPHIC FUNCTION IN A JORDAN REGION TO BE SCHLICHT Frederick Bagemihl Authors Info & Affiliations September 15, 1967 58 (3) 1102-1103 ...