Luận thuyết vầ các hàm Kratzel tổng quát

• Ngôn ngữ: vie
• Ký hiệu phân loại: 831.82 German poetry
• Thông tin xuất bản: Vietnam Journal of Mathematics, 2015
• Mô tả vật lý: 23-36
• Bộ sưu tập: Metadata
• ID: 545014

Tóm tắt

The paper deals with complete monotonicity and log-convexity of the type-l and type-2 generalized Kriitzel functions. The Laguerre type and Turan type inequalities for these functions are also substantiated. The generalized Kriitzel functions of both types were brought in closed form via Fox's H -function and existence conditions are given. The asymptotic behavior of these functions at zero and infinity were deduced and methods for the evaluation of some integrals involving the generalized Kriitzel function are indicated.