In this paper, the methodology of aircraft air distribution system has been analyzed theoretically and experimentally. To achieve that, ducting pressure loss and air flow throw gaspers calculations has been done for cabin ducts in according to exact location of individual air distribution system in the cabin. The length of gasper air flow was compared with the distance between gasper outlet and...

A reenement of a conjecture of Gasper concerning the values

in this paper, the methodology of aircraft air distribution system has been analyzed theoretically and experimentally. to achieve that, ducting pressure loss and air flow throw gaspers calculations has been done for cabin ducts in according to exact location of individual air distribution system in the cabin. the length of gasper air flow was compared with the distance between gasper outlet and...

In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realize...

In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realize...

A refinement of a conjecture of Gasper concerning the values of (α, β), −1/2 < β < 0, −1 < α + β < 0, for which the inequalities

The air conditioning system of most commercial aircrafts consists a main system, which operates on the principle mix ventilation, and personalized called gasper. Field studies show that passengers prefer to keep gasper parcially open or redirect it away from head due discomfort. Therefore, there is demand characterize flow this device for future improvements. In way, present work aims experimen...

In many cases one may encounter an integral which is of q-Mellin–Barnes type. These integrals are easily evaluated using theorems have a long history dating back to Slater, Askey, Gasper, Rahman and others. We derive some interesting them we transformation summation formulas for nonterminating basic hypergeometric functions. The treat include ratios theta functions, the Askey–Wilson moments, we...

In 2017, He (2017) [9] established two supercongruences on truncated hypergeometric series and further proposed related conjectures. Subsequently, Liu [11] extended He's formulas confirmed the second conjecture. However, first conjecture is still open up to now. With help of creative microscoping method Chinese remainder theorem for coprime polynomials, we derive several q-supercongruences modu...