A degenerate symbol x̃ over an alphabet Σ is a non-empty subset of Σ, and a sequence of such symbols is a degenerate string. A degenerate string is said to be conservative if its number of non-solid symbols is upper-bounded by a fixed positive constant k. We consider here the matching problem of conservative degenerate strings and present the first linear-time algorithm that can find, for given ...

This work is concerned with new results on long-time dynamics of a class hyperbolic evolution equations related to extensible beams three distinguished nonlocal nonlinear damping terms. In the first possibly degenerate case, feature existence family compact global attractors and thickness estimate for their Kolmogorov’s $\varepsilon$-entropy. Then, in non-degenerate context, structure helpful l...

We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the generalization to higher dimensions and the inclusion of a cosmological constant. The classical proof of uniqueness of static vacuum black holes [3] assumes that all components of the event horizon are non-degenerate. The...

In the paper, we first define a degenerate Pochhammer symbol by using gamma function and investigate its properties. By symbol, introduce hypergeometric function. We also Sumudu transform properties exponential Finally, give certain integral representations, derivative formulas, transforms, factional calculus applications, generating functions of