The delta of a call option should be the same whether you are long or short. If delta increases you would need less options to hedge your stock since a 1% increase in the stock will cause a greater change in the call then before.
Gamma is greatest at when a call or put is at the money, the further the price moves from the exercise price. I don't think there is a difference between a short or long put gammas, just like delta of a short or long call is the same. Now, value and its effect would change depending on if your long or short the assest / long or short the call / long or short the put
The delta of a call can range from 0.00 to 1.00; the delta of a put can range from 0.00 to –1.00. Long calls have positive delta; short calls have negative delta. Long puts have negative delta; short puts have positive delta.
Long calls and long puts both always have positive gamma. Short calls and short puts both always have negative gamma.